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Finding the Fourth Proportional to 229,646.40, 344,372.40 and 71,832.48

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Solution

The fourth proportional to 229,646.40, 344,372.40 and 71,832.48 is: 107,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,646.40 : 344,372.40 = 71,832.48 : x
  2. Step 2: Convert to fraction form
    229,646.40/344,372.40 = 71,832.48/x
  3. Step 3: Cross multiply
    229,646.40x = 344,372.40 × 71,832.48
  4. Step 4: Simplify right side
    229,646.40x = 24,737,123,535.55
  5. Step 5: Solve for x
    x = 24,737,123,535.55/229,646.40
  6. Step 6: Final answer
    x = 107,718.32

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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.