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Finding the Fourth Proportional to 121,211.80, 181,846.50 and 38,105.80

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Solution

The fourth proportional to 121,211.80, 181,846.50 and 38,105.80 is: 57,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,211.80 : 181,846.50 = 38,105.80 : x
  2. Step 2: Convert to fraction form
    121,211.80/181,846.50 = 38,105.80/x
  3. Step 3: Cross multiply
    121,211.80x = 181,846.50 × 38,105.80
  4. Step 4: Simplify right side
    121,211.80x = 6,929,406,359.70
  5. Step 5: Solve for x
    x = 6,929,406,359.70/121,211.80
  6. Step 6: Final answer
    x = 57,167.75

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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.