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Finding the Fourth Proportional to 261,957.24, 392,853.24 and 84,426.30

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Solution

The fourth proportional to 261,957.24, 392,853.24 and 84,426.30 is: 126,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,957.24 : 392,853.24 = 84,426.30 : x
  2. Step 2: Convert to fraction form
    261,957.24/392,853.24 = 84,426.30/x
  3. Step 3: Cross multiply
    261,957.24x = 392,853.24 × 84,426.30
  4. Step 4: Simplify right side
    261,957.24x = 33,167,145,496.21
  5. Step 5: Solve for x
    x = 33,167,145,496.21/261,957.24
  6. Step 6: Final answer
    x = 126,612.82

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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.