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Finding the Fourth Proportional to 209,249.66, 288,761.13 and 113,758.74

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Solution

The fourth proportional to 209,249.66, 288,761.13 and 113,758.74 is: 156,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,249.66 : 288,761.13 = 113,758.74 : x
  2. Step 2: Convert to fraction form
    209,249.66/288,761.13 = 113,758.74/x
  3. Step 3: Cross multiply
    209,249.66x = 288,761.13 × 113,758.74
  4. Step 4: Simplify right side
    209,249.66x = 32,849,102,309.78
  5. Step 5: Solve for x
    x = 32,849,102,309.78/209,249.66
  6. Step 6: Final answer
    x = 156,985.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.