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Finding the Fourth Proportional to 224,215.08, 309,414.76 and 123,613.08

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Solution

The fourth proportional to 224,215.08, 309,414.76 and 123,613.08 is: 170,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,215.08 : 309,414.76 = 123,613.08 : x
  2. Step 2: Convert to fraction form
    224,215.08/309,414.76 = 123,613.08/x
  3. Step 3: Cross multiply
    224,215.08x = 309,414.76 × 123,613.08
  4. Step 4: Simplify right side
    224,215.08x = 38,247,711,481.06
  5. Step 5: Solve for x
    x = 38,247,711,481.06/224,215.08
  6. Step 6: Final answer
    x = 170,584.92

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