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Finding the Fourth Proportional to 83,214.50, 114,886.86 and 54,170.42

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Solution

The fourth proportional to 83,214.50, 114,886.86 and 54,170.42 is: 74,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214.50 : 114,886.86 = 54,170.42 : x
  2. Step 2: Convert to fraction form
    83,214.50/114,886.86 = 54,170.42/x
  3. Step 3: Cross multiply
    83,214.50x = 114,886.86 × 54,170.42
  4. Step 4: Simplify right side
    83,214.50x = 6,223,469,458.68
  5. Step 5: Solve for x
    x = 6,223,469,458.68/83,214.50
  6. Step 6: Final answer
    x = 74,788.28

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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.