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Finding the Fourth Proportional to 268,591.68, 402,829.92 and 110,779.20

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Solution

The fourth proportional to 268,591.68, 402,829.92 and 110,779.20 is: 166,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,591.68 : 402,829.92 = 110,779.20 : x
  2. Step 2: Convert to fraction form
    268,591.68/402,829.92 = 110,779.20/x
  3. Step 3: Cross multiply
    268,591.68x = 402,829.92 × 110,779.20
  4. Step 4: Simplify right side
    268,591.68x = 44,625,176,273.66
  5. Step 5: Solve for x
    x = 44,625,176,273.66/268,591.68
  6. Step 6: Final answer
    x = 166,145.04

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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.