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Finding the Fourth Proportional to 145,134.70, 217,414.05 and 127,816.30

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Solution

The fourth proportional to 145,134.70, 217,414.05 and 127,816.30 is: 191,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,134.70 : 217,414.05 = 127,816.30 : x
  2. Step 2: Convert to fraction form
    145,134.70/217,414.05 = 127,816.30/x
  3. Step 3: Cross multiply
    145,134.70x = 217,414.05 × 127,816.30
  4. Step 4: Simplify right side
    145,134.70x = 27,789,059,439.02
  5. Step 5: Solve for x
    x = 27,789,059,439.02/145,134.70
  6. Step 6: Final answer
    x = 191,470.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.