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Finding the Fourth Proportional to 83,256.39, 114,854.85 and 54,568.41

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Solution

The fourth proportional to 83,256.39, 114,854.85 and 54,568.41 is: 75,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,256.39 : 114,854.85 = 54,568.41 : x
  2. Step 2: Convert to fraction form
    83,256.39/114,854.85 = 54,568.41/x
  3. Step 3: Cross multiply
    83,256.39x = 114,854.85 × 54,568.41
  4. Step 4: Simplify right side
    83,256.39x = 6,267,446,545.29
  5. Step 5: Solve for x
    x = 6,267,446,545.29/83,256.39
  6. Step 6: Final answer
    x = 75,278.87

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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.