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Finding the Fourth Proportional to 205,073.60, 307,610.40 and 125,931.20

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Solution

The fourth proportional to 205,073.60, 307,610.40 and 125,931.20 is: 188,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,073.60 : 307,610.40 = 125,931.20 : x
  2. Step 2: Convert to fraction form
    205,073.60/307,610.40 = 125,931.20/x
  3. Step 3: Cross multiply
    205,073.60x = 307,610.40 × 125,931.20
  4. Step 4: Simplify right side
    205,073.60x = 38,737,746,804.48
  5. Step 5: Solve for x
    x = 38,737,746,804.48/205,073.60
  6. Step 6: Final answer
    x = 188,896.80

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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.