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Finding the Fourth Proportional to 101,614.38, 140,227.82 and 56,295.30

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Solution

The fourth proportional to 101,614.38, 140,227.82 and 56,295.30 is: 77,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,614.38 : 140,227.82 = 56,295.30 : x
  2. Step 2: Convert to fraction form
    101,614.38/140,227.82 = 56,295.30/x
  3. Step 3: Cross multiply
    101,614.38x = 140,227.82 × 56,295.30
  4. Step 4: Simplify right side
    101,614.38x = 7,894,167,195.25
  5. Step 5: Solve for x
    x = 7,894,167,195.25/101,614.38
  6. Step 6: Final answer
    x = 77,687.50

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1.5x scale

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.