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Finding the Fourth Proportional to 160,375.04, 240,403.80 and 75,986

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Solution

The fourth proportional to 160,375.04, 240,403.80 and 75,986 is: 113,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,375.04 : 240,403.80 = 75,986 : x
  2. Step 2: Convert to fraction form
    160,375.04/240,403.80 = 75,986/x
  3. Step 3: Cross multiply
    160,375.04x = 240,403.80 × 75,986
  4. Step 4: Simplify right side
    160,375.04x = 18,267,323,146.80
  5. Step 5: Solve for x
    x = 18,267,323,146.80/160,375.04
  6. Step 6: Final answer
    x = 113,903.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.