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Finding the Fourth Proportional to 192,657.60, 288,986.40 and 122,846.40

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Solution

The fourth proportional to 192,657.60, 288,986.40 and 122,846.40 is: 184,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,657.60 : 288,986.40 = 122,846.40 : x
  2. Step 2: Convert to fraction form
    192,657.60/288,986.40 = 122,846.40/x
  3. Step 3: Cross multiply
    192,657.60x = 288,986.40 × 122,846.40
  4. Step 4: Simplify right side
    192,657.60x = 35,500,938,888.96
  5. Step 5: Solve for x
    x = 35,500,938,888.96/192,657.60
  6. Step 6: Final answer
    x = 184,269.60

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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.