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Finding the Fourth Proportional to 261,808.56, 392,727.24 and 84,302.64

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Solution

The fourth proportional to 261,808.56, 392,727.24 and 84,302.64 is: 126,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,808.56 : 392,727.24 = 84,302.64 : x
  2. Step 2: Convert to fraction form
    261,808.56/392,727.24 = 84,302.64/x
  3. Step 3: Cross multiply
    261,808.56x = 392,727.24 × 84,302.64
  4. Step 4: Simplify right side
    261,808.56x = 33,107,943,131.91
  5. Step 5: Solve for x
    x = 33,107,943,131.91/261,808.56
  6. Step 6: Final answer
    x = 126,458.60

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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.