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Finding the Fourth Proportional to 261,368.79, 392,057.48 and 71,827.97

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Solution

The fourth proportional to 261,368.79, 392,057.48 and 71,827.97 is: 107,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,368.79 : 392,057.48 = 71,827.97 : x
  2. Step 2: Convert to fraction form
    261,368.79/392,057.48 = 71,827.97/x
  3. Step 3: Cross multiply
    261,368.79x = 392,057.48 × 71,827.97
  4. Step 4: Simplify right side
    261,368.79x = 28,160,690,592.29
  5. Step 5: Solve for x
    x = 28,160,690,592.29/261,368.79
  6. Step 6: Final answer
    x = 107,743.13

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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.