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Finding the Fourth Proportional to 281,469.48, 422,217.18 and 156,716.52

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Solution

The fourth proportional to 281,469.48, 422,217.18 and 156,716.52 is: 235,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,469.48 : 422,217.18 = 156,716.52 : x
  2. Step 2: Convert to fraction form
    281,469.48/422,217.18 = 156,716.52/x
  3. Step 3: Cross multiply
    281,469.48x = 422,217.18 × 156,716.52
  4. Step 4: Simplify right side
    281,469.48x = 66,168,407,133.81
  5. Step 5: Solve for x
    x = 66,168,407,133.81/281,469.48
  6. Step 6: Final answer
    x = 235,082.00

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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.