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Finding the Fourth Proportional to 110,759.59, 152,825.29 and 65,414.58

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Solution

The fourth proportional to 110,759.59, 152,825.29 and 65,414.58 is: 90,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,759.59 : 152,825.29 = 65,414.58 : x
  2. Step 2: Convert to fraction form
    110,759.59/152,825.29 = 65,414.58/x
  3. Step 3: Cross multiply
    110,759.59x = 152,825.29 × 65,414.58
  4. Step 4: Simplify right side
    110,759.59x = 9,997,002,158.73
  5. Step 5: Solve for x
    x = 9,997,002,158.73/110,759.59
  6. Step 6: Final answer
    x = 90,258.57

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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.