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Finding the Fourth Proportional to 261,824.86, 392,729.46 and 72,296.74

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Solution

The fourth proportional to 261,824.86, 392,729.46 and 72,296.74 is: 108,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,824.86 : 392,729.46 = 72,296.74 : x
  2. Step 2: Convert to fraction form
    261,824.86/392,729.46 = 72,296.74/x
  3. Step 3: Cross multiply
    261,824.86x = 392,729.46 × 72,296.74
  4. Step 4: Simplify right side
    261,824.86x = 28,393,059,659.96
  5. Step 5: Solve for x
    x = 28,393,059,659.96/261,824.86
  6. Step 6: Final answer
    x = 108,442.95

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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.