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Finding the Fourth Proportional to 102,393.96, 141,311.88 and 57,086.62

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Solution

The fourth proportional to 102,393.96, 141,311.88 and 57,086.62 is: 78,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393.96 : 141,311.88 = 57,086.62 : x
  2. Step 2: Convert to fraction form
    102,393.96/141,311.88 = 57,086.62/x
  3. Step 3: Cross multiply
    102,393.96x = 141,311.88 × 57,086.62
  4. Step 4: Simplify right side
    102,393.96x = 8,067,017,595.05
  5. Step 5: Solve for x
    x = 8,067,017,595.05/102,393.96
  6. Step 6: Final answer
    x = 78,784.12

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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.