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Finding the Fourth Proportional to 229,972.80, 344,959.20 and 111,874.80

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Solution

The fourth proportional to 229,972.80, 344,959.20 and 111,874.80 is: 167,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,972.80 : 344,959.20 = 111,874.80 : x
  2. Step 2: Convert to fraction form
    229,972.80/344,959.20 = 111,874.80/x
  3. Step 3: Cross multiply
    229,972.80x = 344,959.20 × 111,874.80
  4. Step 4: Simplify right side
    229,972.80x = 38,592,241,508.16
  5. Step 5: Solve for x
    x = 38,592,241,508.16/229,972.80
  6. Step 6: Final answer
    x = 167,812.20

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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.