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Finding the Fourth Proportional to 201,474, 278,073.68 and 115,490.61

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Solution

The fourth proportional to 201,474, 278,073.68 and 115,490.61 is: 159,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,474 : 278,073.68 = 115,490.61 : x
  2. Step 2: Convert to fraction form
    201,474/278,073.68 = 115,490.61/x
  3. Step 3: Cross multiply
    201,474x = 278,073.68 × 115,490.61
  4. Step 4: Simplify right side
    201,474x = 32,114,898,350.69
  5. Step 5: Solve for x
    x = 32,114,898,350.69/201,474
  6. Step 6: Final answer
    x = 159,399.72

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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.