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Finding the Fourth Proportional to 161,223.20, 241,834.80 and 111,456.80

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Solution

The fourth proportional to 161,223.20, 241,834.80 and 111,456.80 is: 167,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,223.20 : 241,834.80 = 111,456.80 : x
  2. Step 2: Convert to fraction form
    161,223.20/241,834.80 = 111,456.80/x
  3. Step 3: Cross multiply
    161,223.20x = 241,834.80 × 111,456.80
  4. Step 4: Simplify right side
    161,223.20x = 26,954,132,936.64
  5. Step 5: Solve for x
    x = 26,954,132,936.64/161,223.20
  6. Step 6: Final answer
    x = 167,185.20

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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.