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Finding the Fourth Proportional to 132,759.88, 199,139.84 and 77,317

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Solution

The fourth proportional to 132,759.88, 199,139.84 and 77,317 is: 115,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,759.88 : 199,139.84 = 77,317 : x
  2. Step 2: Convert to fraction form
    132,759.88/199,139.84 = 77,317/x
  3. Step 3: Cross multiply
    132,759.88x = 199,139.84 × 77,317
  4. Step 4: Simplify right side
    132,759.88x = 15,396,895,009.28
  5. Step 5: Solve for x
    x = 15,396,895,009.28/132,759.88
  6. Step 6: Final answer
    x = 115,975.51

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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.