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Finding the Fourth Proportional to 121,105.20, 181,657.80 and 110,218.80

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Solution

The fourth proportional to 121,105.20, 181,657.80 and 110,218.80 is: 165,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,105.20 : 181,657.80 = 110,218.80 : x
  2. Step 2: Convert to fraction form
    121,105.20/181,657.80 = 110,218.80/x
  3. Step 3: Cross multiply
    121,105.20x = 181,657.80 × 110,218.80
  4. Step 4: Simplify right side
    121,105.20x = 20,022,104,726.64
  5. Step 5: Solve for x
    x = 20,022,104,726.64/121,105.20
  6. Step 6: Final answer
    x = 165,328.20

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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.