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Finding the Fourth Proportional to 261,112.73, 391,627.05 and 71,528.78

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Solution

The fourth proportional to 261,112.73, 391,627.05 and 71,528.78 is: 107,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,112.73 : 391,627.05 = 71,528.78 : x
  2. Step 2: Convert to fraction form
    261,112.73/391,627.05 = 71,528.78/x
  3. Step 3: Cross multiply
    261,112.73x = 391,627.05 × 71,528.78
  4. Step 4: Simplify right side
    261,112.73x = 28,012,605,101.50
  5. Step 5: Solve for x
    x = 28,012,605,101.50/261,112.73
  6. Step 6: Final answer
    x = 107,281.65

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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.