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Finding the Fourth Proportional to 218,047.60, 327,082.20 and 113,071.60

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Solution

The fourth proportional to 218,047.60, 327,082.20 and 113,071.60 is: 169,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,047.60 : 327,082.20 = 113,071.60 : x
  2. Step 2: Convert to fraction form
    218,047.60/327,082.20 = 113,071.60/x
  3. Step 3: Cross multiply
    218,047.60x = 327,082.20 × 113,071.60
  4. Step 4: Simplify right side
    218,047.60x = 36,983,707,685.52
  5. Step 5: Solve for x
    x = 36,983,707,685.52/218,047.60
  6. Step 6: Final answer
    x = 169,613.00

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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.