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Finding the Fourth Proportional to 234,323.10, 351,411.90 and 84,543.87

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Solution

The fourth proportional to 234,323.10, 351,411.90 and 84,543.87 is: 126,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,323.10 : 351,411.90 = 84,543.87 : x
  2. Step 2: Convert to fraction form
    234,323.10/351,411.90 = 84,543.87/x
  3. Step 3: Cross multiply
    234,323.10x = 351,411.90 × 84,543.87
  4. Step 4: Simplify right side
    234,323.10x = 29,709,722,990.81
  5. Step 5: Solve for x
    x = 29,709,722,990.81/234,323.10
  6. Step 6: Final answer
    x = 126,789.56

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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.