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Finding the Fourth Proportional to 279,758.10, 419,761.17 and 146,606.70

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Solution

The fourth proportional to 279,758.10, 419,761.17 and 146,606.70 is: 219,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,758.10 : 419,761.17 = 146,606.70 : x
  2. Step 2: Convert to fraction form
    279,758.10/419,761.17 = 146,606.70/x
  3. Step 3: Cross multiply
    279,758.10x = 419,761.17 × 146,606.70
  4. Step 4: Simplify right side
    279,758.10x = 61,539,799,921.84
  5. Step 5: Solve for x
    x = 61,539,799,921.84/279,758.10
  6. Step 6: Final answer
    x = 219,975.04

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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.