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Finding the Fourth Proportional to 291,229.04, 402,020.07 and 195,791.10

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Solution

The fourth proportional to 291,229.04, 402,020.07 and 195,791.10 is: 270,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,229.04 : 402,020.07 = 195,791.10 : x
  2. Step 2: Convert to fraction form
    291,229.04/402,020.07 = 195,791.10/x
  3. Step 3: Cross multiply
    291,229.04x = 402,020.07 × 195,791.10
  4. Step 4: Simplify right side
    291,229.04x = 78,711,951,727.38
  5. Step 5: Solve for x
    x = 78,711,951,727.38/291,229.04
  6. Step 6: Final answer
    x = 270,275.08

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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.