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Finding the Fourth Proportional to 230,449.08, 317,839.46 and 149,902.34

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Solution

The fourth proportional to 230,449.08, 317,839.46 and 149,902.34 is: 206,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,449.08 : 317,839.46 = 149,902.34 : x
  2. Step 2: Convert to fraction form
    230,449.08/317,839.46 = 149,902.34/x
  3. Step 3: Cross multiply
    230,449.08x = 317,839.46 × 149,902.34
  4. Step 4: Simplify right side
    230,449.08x = 47,644,876,459.63
  5. Step 5: Solve for x
    x = 47,644,876,459.63/230,449.08
  6. Step 6: Final answer
    x = 206,747.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.