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Finding the Fourth Proportional to 133,729.52, 200,613.60 and 71,366

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Solution

The fourth proportional to 133,729.52, 200,613.60 and 71,366 is: 107,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,729.52 : 200,613.60 = 71,366 : x
  2. Step 2: Convert to fraction form
    133,729.52/200,613.60 = 71,366/x
  3. Step 3: Cross multiply
    133,729.52x = 200,613.60 × 71,366
  4. Step 4: Simplify right side
    133,729.52x = 14,316,990,177.60
  5. Step 5: Solve for x
    x = 14,316,990,177.60/133,729.52
  6. Step 6: Final answer
    x = 107,059.31

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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.