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Finding the Fourth Proportional to 276,865.83, 414,695.54 and 181,988.91

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Solution

The fourth proportional to 276,865.83, 414,695.54 and 181,988.91 is: 272,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,865.83 : 414,695.54 = 181,988.91 : x
  2. Step 2: Convert to fraction form
    276,865.83/414,695.54 = 181,988.91/x
  3. Step 3: Cross multiply
    276,865.83x = 414,695.54 × 181,988.91
  4. Step 4: Simplify right side
    276,865.83x = 75,469,989,761.43
  5. Step 5: Solve for x
    x = 75,469,989,761.43/276,865.83
  6. Step 6: Final answer
    x = 272,586.87

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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.