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Finding the Fourth Proportional to 207,514.29, 311,551.29 and 132,780.31

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Solution

The fourth proportional to 207,514.29, 311,551.29 and 132,780.31 is: 199,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,514.29 : 311,551.29 = 132,780.31 : x
  2. Step 2: Convert to fraction form
    207,514.29/311,551.29 = 132,780.31/x
  3. Step 3: Cross multiply
    207,514.29x = 311,551.29 × 132,780.31
  4. Step 4: Simplify right side
    207,514.29x = 41,367,876,867.10
  5. Step 5: Solve for x
    x = 41,367,876,867.10/207,514.29
  6. Step 6: Final answer
    x = 199,349.53

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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.