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Finding the Fourth Proportional to 259,265.28, 357,865.17 and 150,397.13

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Solution

The fourth proportional to 259,265.28, 357,865.17 and 150,397.13 is: 207,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,265.28 : 357,865.17 = 150,397.13 : x
  2. Step 2: Convert to fraction form
    259,265.28/357,865.17 = 150,397.13/x
  3. Step 3: Cross multiply
    259,265.28x = 357,865.17 × 150,397.13
  4. Step 4: Simplify right side
    259,265.28x = 53,821,894,825.64
  5. Step 5: Solve for x
    x = 53,821,894,825.64/259,265.28
  6. Step 6: Final answer
    x = 207,593.91

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