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Finding the Fourth Proportional to 230,211.91, 317,691.88 and 161,402.41

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Solution

The fourth proportional to 230,211.91, 317,691.88 and 161,402.41 is: 222,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,211.91 : 317,691.88 = 161,402.41 : x
  2. Step 2: Convert to fraction form
    230,211.91/317,691.88 = 161,402.41/x
  3. Step 3: Cross multiply
    230,211.91x = 317,691.88 × 161,402.41
  4. Step 4: Simplify right side
    230,211.91x = 51,276,235,069.43
  5. Step 5: Solve for x
    x = 51,276,235,069.43/230,211.91
  6. Step 6: Final answer
    x = 222,734.94

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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.