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Finding the Fourth Proportional to 230,656.46, 318,251.64 and 140,010.20

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Solution

The fourth proportional to 230,656.46, 318,251.64 and 140,010.20 is: 193,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,656.46 : 318,251.64 = 140,010.20 : x
  2. Step 2: Convert to fraction form
    230,656.46/318,251.64 = 140,010.20/x
  3. Step 3: Cross multiply
    230,656.46x = 318,251.64 × 140,010.20
  4. Step 4: Simplify right side
    230,656.46x = 44,558,475,766.73
  5. Step 5: Solve for x
    x = 44,558,475,766.73/230,656.46
  6. Step 6: Final answer
    x = 193,181.13

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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.