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Finding the Fourth Proportional to 102,066.38, 140,843.60 and 56,741.61

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Solution

The fourth proportional to 102,066.38, 140,843.60 and 56,741.61 is: 78,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,066.38 : 140,843.60 = 56,741.61 : x
  2. Step 2: Convert to fraction form
    102,066.38/140,843.60 = 56,741.61/x
  3. Step 3: Cross multiply
    102,066.38x = 140,843.60 × 56,741.61
  4. Step 4: Simplify right side
    102,066.38x = 7,991,692,059.83
  5. Step 5: Solve for x
    x = 7,991,692,059.83/102,066.38
  6. Step 6: Final answer
    x = 78,298.97

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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.