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Finding the Fourth Proportional to 293,761.50, 440,641.17 and 83,399.46

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Solution

The fourth proportional to 293,761.50, 440,641.17 and 83,399.46 is: 125,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,761.50 : 440,641.17 = 83,399.46 : x
  2. Step 2: Convert to fraction form
    293,761.50/440,641.17 = 83,399.46/x
  3. Step 3: Cross multiply
    293,761.50x = 440,641.17 × 83,399.46
  4. Step 4: Simplify right side
    293,761.50x = 36,749,235,631.77
  5. Step 5: Solve for x
    x = 36,749,235,631.77/293,761.50
  6. Step 6: Final answer
    x = 125,098.88

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Why These Related Problems?

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