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Finding the Fourth Proportional to 102,112.38, 140,924.34 and 56,789.64

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Solution

The fourth proportional to 102,112.38, 140,924.34 and 56,789.64 is: 78,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,112.38 : 140,924.34 = 56,789.64 : x
  2. Step 2: Convert to fraction form
    102,112.38/140,924.34 = 56,789.64/x
  3. Step 3: Cross multiply
    102,112.38x = 140,924.34 × 56,789.64
  4. Step 4: Simplify right side
    102,112.38x = 8,003,042,535.84
  5. Step 5: Solve for x
    x = 8,003,042,535.84/102,112.38
  6. Step 6: Final answer
    x = 78,374.85

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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.