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Finding the Fourth Proportional to 186,753.60, 257,718.24 and 115,104.96

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Solution

The fourth proportional to 186,753.60, 257,718.24 and 115,104.96 is: 158,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,753.60 : 257,718.24 = 115,104.96 : x
  2. Step 2: Convert to fraction form
    186,753.60/257,718.24 = 115,104.96/x
  3. Step 3: Cross multiply
    186,753.60x = 257,718.24 × 115,104.96
  4. Step 4: Simplify right side
    186,753.60x = 29,664,647,706.47
  5. Step 5: Solve for x
    x = 29,664,647,706.47/186,753.60
  6. Step 6: Final answer
    x = 158,843.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.