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Finding the Fourth Proportional to 115,986.78, 160,138.88 and 89,081.22

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Solution

The fourth proportional to 115,986.78, 160,138.88 and 89,081.22 is: 122,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,986.78 : 160,138.88 = 89,081.22 : x
  2. Step 2: Convert to fraction form
    115,986.78/160,138.88 = 89,081.22/x
  3. Step 3: Cross multiply
    115,986.78x = 160,138.88 × 89,081.22
  4. Step 4: Simplify right side
    115,986.78x = 14,265,366,799.83
  5. Step 5: Solve for x
    x = 14,265,366,799.83/115,986.78
  6. Step 6: Final answer
    x = 122,991.32

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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.