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Finding the Fourth Proportional to 135,249.80, 202,874.70 and 65,112.20

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Solution

The fourth proportional to 135,249.80, 202,874.70 and 65,112.20 is: 97,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,249.80 : 202,874.70 = 65,112.20 : x
  2. Step 2: Convert to fraction form
    135,249.80/202,874.70 = 65,112.20/x
  3. Step 3: Cross multiply
    135,249.80x = 202,874.70 × 65,112.20
  4. Step 4: Simplify right side
    135,249.80x = 13,209,618,041.34
  5. Step 5: Solve for x
    x = 13,209,618,041.34/135,249.80
  6. Step 6: Final answer
    x = 97,668.30

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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.