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Finding the Fourth Proportional to 135,331.80, 202,983.12 and 35,502

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Solution

The fourth proportional to 135,331.80, 202,983.12 and 35,502 is: 53,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,331.80 : 202,983.12 = 35,502 : x
  2. Step 2: Convert to fraction form
    135,331.80/202,983.12 = 35,502/x
  3. Step 3: Cross multiply
    135,331.80x = 202,983.12 × 35,502
  4. Step 4: Simplify right side
    135,331.80x = 7,206,306,726.24
  5. Step 5: Solve for x
    x = 7,206,306,726.24/135,331.80
  6. Step 6: Final answer
    x = 53,249.18

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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.