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Finding the Fourth Proportional to 121,489.80, 182,234.70 and 116,824.20

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Solution

The fourth proportional to 121,489.80, 182,234.70 and 116,824.20 is: 175,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,489.80 : 182,234.70 = 116,824.20 : x
  2. Step 2: Convert to fraction form
    121,489.80/182,234.70 = 116,824.20/x
  3. Step 3: Cross multiply
    121,489.80x = 182,234.70 × 116,824.20
  4. Step 4: Simplify right side
    121,489.80x = 21,289,423,039.74
  5. Step 5: Solve for x
    x = 21,289,423,039.74/121,489.80
  6. Step 6: Final answer
    x = 175,236.30

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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.