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Finding the Fourth Proportional to 261,429, 392,201.82 and 95,217

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Solution

The fourth proportional to 261,429, 392,201.82 and 95,217 is: 142,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,429 : 392,201.82 = 95,217 : x
  2. Step 2: Convert to fraction form
    261,429/392,201.82 = 95,217/x
  3. Step 3: Cross multiply
    261,429x = 392,201.82 × 95,217
  4. Step 4: Simplify right side
    261,429x = 37,344,280,694.94
  5. Step 5: Solve for x
    x = 37,344,280,694.94/261,429
  6. Step 6: Final answer
    x = 142,846.74

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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.