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Finding the Fourth Proportional to 115,641.26, 159,611.61 and 75,284.75

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Solution

The fourth proportional to 115,641.26, 159,611.61 and 75,284.75 is: 103,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,641.26 : 159,611.61 = 75,284.75 : x
  2. Step 2: Convert to fraction form
    115,641.26/159,611.61 = 75,284.75/x
  3. Step 3: Cross multiply
    115,641.26x = 159,611.61 × 75,284.75
  4. Step 4: Simplify right side
    115,641.26x = 12,016,320,155.95
  5. Step 5: Solve for x
    x = 12,016,320,155.95/115,641.26
  6. Step 6: Final answer
    x = 103,910.32

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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.