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Finding the Fourth Proportional to 102,406.80, 141,322.05 and 57,087.66

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Solution

The fourth proportional to 102,406.80, 141,322.05 and 57,087.66 is: 78,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406.80 : 141,322.05 = 57,087.66 : x
  2. Step 2: Convert to fraction form
    102,406.80/141,322.05 = 57,087.66/x
  3. Step 3: Cross multiply
    102,406.80x = 141,322.05 × 57,087.66
  4. Step 4: Simplify right side
    102,406.80x = 8,067,745,140.90
  5. Step 5: Solve for x
    x = 8,067,745,140.90/102,406.80
  6. Step 6: Final answer
    x = 78,781.34

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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.