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Finding the Fourth Proportional to 231,968.92, 347,854.94 and 82,246.90

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Solution

The fourth proportional to 231,968.92, 347,854.94 and 82,246.90 is: 123,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,968.92 : 347,854.94 = 82,246.90 : x
  2. Step 2: Convert to fraction form
    231,968.92/347,854.94 = 82,246.90/x
  3. Step 3: Cross multiply
    231,968.92x = 347,854.94 × 82,246.90
  4. Step 4: Simplify right side
    231,968.92x = 28,609,990,464.69
  5. Step 5: Solve for x
    x = 28,609,990,464.69/231,968.92
  6. Step 6: Final answer
    x = 123,335.45

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1.5x scale

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.