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Finding the Fourth Proportional to 135,167.40, 202,753.80 and 35,321.40

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Solution

The fourth proportional to 135,167.40, 202,753.80 and 35,321.40 is: 52,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,167.40 : 202,753.80 = 35,321.40 : x
  2. Step 2: Convert to fraction form
    135,167.40/202,753.80 = 35,321.40/x
  3. Step 3: Cross multiply
    135,167.40x = 202,753.80 × 35,321.40
  4. Step 4: Simplify right side
    135,167.40x = 7,161,548,071.32
  5. Step 5: Solve for x
    x = 7,161,548,071.32/135,167.40
  6. Step 6: Final answer
    x = 52,982.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.