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Finding the Fourth Proportional to 232,668.64, 321,082.54 and 132,066.64

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Solution

The fourth proportional to 232,668.64, 321,082.54 and 132,066.64 is: 182,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,668.64 : 321,082.54 = 132,066.64 : x
  2. Step 2: Convert to fraction form
    232,668.64/321,082.54 = 132,066.64/x
  3. Step 3: Cross multiply
    232,668.64x = 321,082.54 × 132,066.64
  4. Step 4: Simplify right side
    232,668.64x = 42,404,292,220.47
  5. Step 5: Solve for x
    x = 42,404,292,220.47/232,668.64
  6. Step 6: Final answer
    x = 182,251.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.