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Finding the Fourth Proportional to 185,959.50, 256,614.27 and 105,387.99

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Solution

The fourth proportional to 185,959.50, 256,614.27 and 105,387.99 is: 145,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,959.50 : 256,614.27 = 105,387.99 : x
  2. Step 2: Convert to fraction form
    185,959.50/256,614.27 = 105,387.99/x
  3. Step 3: Cross multiply
    185,959.50x = 256,614.27 × 105,387.99
  4. Step 4: Simplify right side
    185,959.50x = 27,044,063,025.62
  5. Step 5: Solve for x
    x = 27,044,063,025.62/185,959.50
  6. Step 6: Final answer
    x = 145,429.85

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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.