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Finding the Fourth Proportional to 260,757.20, 359,832.49 and 160,135.76

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Solution

The fourth proportional to 260,757.20, 359,832.49 and 160,135.76 is: 220,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,757.20 : 359,832.49 = 160,135.76 : x
  2. Step 2: Convert to fraction form
    260,757.20/359,832.49 = 160,135.76/x
  3. Step 3: Cross multiply
    260,757.20x = 359,832.49 × 160,135.76
  4. Step 4: Simplify right side
    260,757.20x = 57,622,047,059.34
  5. Step 5: Solve for x
    x = 57,622,047,059.34/260,757.20
  6. Step 6: Final answer
    x = 220,979.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.