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Finding the Fourth Proportional to 234,322.68, 351,411.30 and 84,543.50

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Solution

The fourth proportional to 234,322.68, 351,411.30 and 84,543.50 is: 126,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,322.68 : 351,411.30 = 84,543.50 : x
  2. Step 2: Convert to fraction form
    234,322.68/351,411.30 = 84,543.50/x
  3. Step 3: Cross multiply
    234,322.68x = 351,411.30 × 84,543.50
  4. Step 4: Simplify right side
    234,322.68x = 29,709,541,241.55
  5. Step 5: Solve for x
    x = 29,709,541,241.55/234,322.68
  6. Step 6: Final answer
    x = 126,789.01

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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.