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Finding the Fourth Proportional to 261,414.54, 392,084.75 and 83,898.59

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Solution

The fourth proportional to 261,414.54, 392,084.75 and 83,898.59 is: 125,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,414.54 : 392,084.75 = 83,898.59 : x
  2. Step 2: Convert to fraction form
    261,414.54/392,084.75 = 83,898.59/x
  3. Step 3: Cross multiply
    261,414.54x = 392,084.75 × 83,898.59
  4. Step 4: Simplify right side
    261,414.54x = 32,895,355,934.83
  5. Step 5: Solve for x
    x = 32,895,355,934.83/261,414.54
  6. Step 6: Final answer
    x = 125,835.98

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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.