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Finding the Fourth Proportional to 268,546.38, 402,798.24 and 156,154.74

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Solution

The fourth proportional to 268,546.38, 402,798.24 and 156,154.74 is: 234,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,546.38 : 402,798.24 = 156,154.74 : x
  2. Step 2: Convert to fraction form
    268,546.38/402,798.24 = 156,154.74/x
  3. Step 3: Cross multiply
    268,546.38x = 402,798.24 × 156,154.74
  4. Step 4: Simplify right side
    268,546.38x = 62,898,854,439.66
  5. Step 5: Solve for x
    x = 62,898,854,439.66/268,546.38
  6. Step 6: Final answer
    x = 234,219.71

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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.