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Finding the Fourth Proportional to 135,641.80, 203,462.70 and 113,480.20

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Solution

The fourth proportional to 135,641.80, 203,462.70 and 113,480.20 is: 170,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,641.80 : 203,462.70 = 113,480.20 : x
  2. Step 2: Convert to fraction form
    135,641.80/203,462.70 = 113,480.20/x
  3. Step 3: Cross multiply
    135,641.80x = 203,462.70 × 113,480.20
  4. Step 4: Simplify right side
    135,641.80x = 23,088,987,888.54
  5. Step 5: Solve for x
    x = 23,088,987,888.54/135,641.80
  6. Step 6: Final answer
    x = 170,220.30

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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.