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Finding the Fourth Proportional to 177,591.92, 266,486.30 and 72,402.76

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Solution

The fourth proportional to 177,591.92, 266,486.30 and 72,402.76 is: 108,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,591.92 : 266,486.30 = 72,402.76 : x
  2. Step 2: Convert to fraction form
    177,591.92/266,486.30 = 72,402.76/x
  3. Step 3: Cross multiply
    177,591.92x = 266,486.30 × 72,402.76
  4. Step 4: Simplify right side
    177,591.92x = 19,294,341,927.74
  5. Step 5: Solve for x
    x = 19,294,341,927.74/177,591.92
  6. Step 6: Final answer
    x = 108,644.26

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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.