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Finding the Fourth Proportional to 121,630.30, 182,008.05 and 82,264.30

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Solution

The fourth proportional to 121,630.30, 182,008.05 and 82,264.30 is: 123,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,630.30 : 182,008.05 = 82,264.30 : x
  2. Step 2: Convert to fraction form
    121,630.30/182,008.05 = 82,264.30/x
  3. Step 3: Cross multiply
    121,630.30x = 182,008.05 × 82,264.30
  4. Step 4: Simplify right side
    121,630.30x = 14,972,764,827.62
  5. Step 5: Solve for x
    x = 14,972,764,827.62/121,630.30
  6. Step 6: Final answer
    x = 123,100.62

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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.