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Finding the Fourth Proportional to 229,449.60, 344,040.75 and 89,044.20

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Solution

The fourth proportional to 229,449.60, 344,040.75 and 89,044.20 is: 133,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,449.60 : 344,040.75 = 89,044.20 : x
  2. Step 2: Convert to fraction form
    229,449.60/344,040.75 = 89,044.20/x
  3. Step 3: Cross multiply
    229,449.60x = 344,040.75 × 89,044.20
  4. Step 4: Simplify right side
    229,449.60x = 30,634,833,351.15
  5. Step 5: Solve for x
    x = 30,634,833,351.15/229,449.60
  6. Step 6: Final answer
    x = 133,514.43

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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.