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Finding the Fourth Proportional to 135,882.50, 202,908.70 and 110,971.96

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Solution

The fourth proportional to 135,882.50, 202,908.70 and 110,971.96 is: 165,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,882.50 : 202,908.70 = 110,971.96 : x
  2. Step 2: Convert to fraction form
    135,882.50/202,908.70 = 110,971.96/x
  3. Step 3: Cross multiply
    135,882.50x = 202,908.70 × 110,971.96
  4. Step 4: Simplify right side
    135,882.50x = 22,517,176,140.05
  5. Step 5: Solve for x
    x = 22,517,176,140.05/135,882.50
  6. Step 6: Final answer
    x = 165,710.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.