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Finding the Fourth Proportional to 274,162.74, 411,251.16 and 130,034.88

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Solution

The fourth proportional to 274,162.74, 411,251.16 and 130,034.88 is: 195,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,162.74 : 411,251.16 = 130,034.88 : x
  2. Step 2: Convert to fraction form
    274,162.74/411,251.16 = 130,034.88/x
  3. Step 3: Cross multiply
    274,162.74x = 411,251.16 × 130,034.88
  4. Step 4: Simplify right side
    274,162.74x = 53,476,995,240.46
  5. Step 5: Solve for x
    x = 53,476,995,240.46/274,162.74
  6. Step 6: Final answer
    x = 195,055.66

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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.