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Finding the Fourth Proportional to 228,471.82, 342,761.20 and 70,691.92

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Solution

The fourth proportional to 228,471.82, 342,761.20 and 70,691.92 is: 106,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,471.82 : 342,761.20 = 70,691.92 : x
  2. Step 2: Convert to fraction form
    228,471.82/342,761.20 = 70,691.92/x
  3. Step 3: Cross multiply
    228,471.82x = 342,761.20 × 70,691.92
  4. Step 4: Simplify right side
    228,471.82x = 24,230,446,295.87
  5. Step 5: Solve for x
    x = 24,230,446,295.87/228,471.82
  6. Step 6: Final answer
    x = 106,054.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.