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Finding the Fourth Proportional to 192,458,625.60, 288,687,938.40 and 160,572,165.60

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Solution

The fourth proportional to 192,458,625.60, 288,687,938.40 and 160,572,165.60 is: 240,858,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,458,625.60 : 288,687,938.40 = 160,572,165.60 : x
  2. Step 2: Convert to fraction form
    192,458,625.60/288,687,938.40 = 160,572,165.60/x
  3. Step 3: Cross multiply
    192,458,625.60x = 288,687,938.40 × 160,572,165.60
  4. Step 4: Simplify right side
    192,458,625.60x = 46,355,247,451,487,392
  5. Step 5: Solve for x
    x = 46,355,247,451,487,392/192,458,625.60
  6. Step 6: Final answer
    x = 240,858,248.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.