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Finding the Fourth Proportional to 135,213.40, 202,820.10 and 88,211.80

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Solution

The fourth proportional to 135,213.40, 202,820.10 and 88,211.80 is: 132,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,213.40 : 202,820.10 = 88,211.80 : x
  2. Step 2: Convert to fraction form
    135,213.40/202,820.10 = 88,211.80/x
  3. Step 3: Cross multiply
    135,213.40x = 202,820.10 × 88,211.80
  4. Step 4: Simplify right side
    135,213.40x = 17,891,126,097.18
  5. Step 5: Solve for x
    x = 17,891,126,097.18/135,213.40
  6. Step 6: Final answer
    x = 132,317.70

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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.