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Finding the Fourth Proportional to 261,013.14, 391,514.22 and 83,520.18

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Solution

The fourth proportional to 261,013.14, 391,514.22 and 83,520.18 is: 125,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,013.14 : 391,514.22 = 83,520.18 : x
  2. Step 2: Convert to fraction form
    261,013.14/391,514.22 = 83,520.18/x
  3. Step 3: Cross multiply
    261,013.14x = 391,514.22 × 83,520.18
  4. Step 4: Simplify right side
    261,013.14x = 32,699,338,126.96
  5. Step 5: Solve for x
    x = 32,699,338,126.96/261,013.14
  6. Step 6: Final answer
    x = 125,278.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.