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Finding the Fourth Proportional to 137,433.60, 206,150.40 and 122,918.40

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Solution

The fourth proportional to 137,433.60, 206,150.40 and 122,918.40 is: 184,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433.60 : 206,150.40 = 122,918.40 : x
  2. Step 2: Convert to fraction form
    137,433.60/206,150.40 = 122,918.40/x
  3. Step 3: Cross multiply
    137,433.60x = 206,150.40 × 122,918.40
  4. Step 4: Simplify right side
    137,433.60x = 25,339,677,327.36
  5. Step 5: Solve for x
    x = 25,339,677,327.36/137,433.60
  6. Step 6: Final answer
    x = 184,377.60

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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.