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Finding the Fourth Proportional to 102,337.74, 141,236.46 and 57,023.10

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Solution

The fourth proportional to 102,337.74, 141,236.46 and 57,023.10 is: 78,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,337.74 : 141,236.46 = 57,023.10 : x
  2. Step 2: Convert to fraction form
    102,337.74/141,236.46 = 57,023.10/x
  3. Step 3: Cross multiply
    102,337.74x = 141,236.46 × 57,023.10
  4. Step 4: Simplify right side
    102,337.74x = 8,053,740,782.23
  5. Step 5: Solve for x
    x = 8,053,740,782.23/102,337.74
  6. Step 6: Final answer
    x = 78,697.66

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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.