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Finding the Fourth Proportional to 261,542.32, 392,310.74 and 84,049.50

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Solution

The fourth proportional to 261,542.32, 392,310.74 and 84,049.50 is: 126,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,542.32 : 392,310.74 = 84,049.50 : x
  2. Step 2: Convert to fraction form
    261,542.32/392,310.74 = 84,049.50/x
  3. Step 3: Cross multiply
    261,542.32x = 392,310.74 × 84,049.50
  4. Step 4: Simplify right side
    261,542.32x = 32,973,521,016.17
  5. Step 5: Solve for x
    x = 32,973,521,016.17/261,542.32
  6. Step 6: Final answer
    x = 126,073.37

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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.