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Finding the Fourth Proportional to 261,113.85, 391,711.28 and 111,354.57

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Solution

The fourth proportional to 261,113.85, 391,711.28 and 111,354.57 is: 167,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,113.85 : 391,711.28 = 111,354.57 : x
  2. Step 2: Convert to fraction form
    261,113.85/391,711.28 = 111,354.57/x
  3. Step 3: Cross multiply
    261,113.85x = 391,711.28 × 111,354.57
  4. Step 4: Simplify right side
    261,113.85x = 43,618,840,591.78
  5. Step 5: Solve for x
    x = 43,618,840,591.78/261,113.85
  6. Step 6: Final answer
    x = 167,049.13

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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.