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Finding the Fourth Proportional to 329,132.14, 454,199.76 and 178,229.14

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Solution

The fourth proportional to 329,132.14, 454,199.76 and 178,229.14 is: 245,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,132.14 : 454,199.76 = 178,229.14 : x
  2. Step 2: Convert to fraction form
    329,132.14/454,199.76 = 178,229.14/x
  3. Step 3: Cross multiply
    329,132.14x = 454,199.76 × 178,229.14
  4. Step 4: Simplify right side
    329,132.14x = 80,951,632,613.01
  5. Step 5: Solve for x
    x = 80,951,632,613.01/329,132.14
  6. Step 6: Final answer
    x = 245,954.81

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1.5x scale

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.