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Finding the Fourth Proportional to 438,761.82, 658,142.74 and 106,337.82

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Solution

The fourth proportional to 438,761.82, 658,142.74 and 106,337.82 is: 159,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,761.82 : 658,142.74 = 106,337.82 : x
  2. Step 2: Convert to fraction form
    438,761.82/658,142.74 = 106,337.82/x
  3. Step 3: Cross multiply
    438,761.82x = 658,142.74 × 106,337.82
  4. Step 4: Simplify right side
    438,761.82x = 69,985,464,220.43
  5. Step 5: Solve for x
    x = 69,985,464,220.43/438,761.82
  6. Step 6: Final answer
    x = 159,506.73

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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.