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Finding the Fourth Proportional to 268,077.42, 369,956.68 and 147,229.86

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Solution

The fourth proportional to 268,077.42, 369,956.68 and 147,229.86 is: 203,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,077.42 : 369,956.68 = 147,229.86 : x
  2. Step 2: Convert to fraction form
    268,077.42/369,956.68 = 147,229.86/x
  3. Step 3: Cross multiply
    268,077.42x = 369,956.68 × 147,229.86
  4. Step 4: Simplify right side
    268,077.42x = 54,468,670,202.46
  5. Step 5: Solve for x
    x = 54,468,670,202.46/268,077.42
  6. Step 6: Final answer
    x = 203,182.61

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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.