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Finding the Fourth Proportional to 83,211.50, 114,882.72 and 54,167.42

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Solution

The fourth proportional to 83,211.50, 114,882.72 and 54,167.42 is: 74,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,211.50 : 114,882.72 = 54,167.42 : x
  2. Step 2: Convert to fraction form
    83,211.50/114,882.72 = 54,167.42/x
  3. Step 3: Cross multiply
    83,211.50x = 114,882.72 × 54,167.42
  4. Step 4: Simplify right side
    83,211.50x = 6,222,900,544.98
  5. Step 5: Solve for x
    x = 6,222,900,544.98/83,211.50
  6. Step 6: Final answer
    x = 74,784.14

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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.