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Finding the Fourth Proportional to 229,745.92, 344,489.28 and 89,343.76

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Solution

The fourth proportional to 229,745.92, 344,489.28 and 89,343.76 is: 133,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,745.92 : 344,489.28 = 89,343.76 : x
  2. Step 2: Convert to fraction form
    229,745.92/344,489.28 = 89,343.76/x
  3. Step 3: Cross multiply
    229,745.92x = 344,489.28 × 89,343.76
  4. Step 4: Simplify right side
    229,745.92x = 30,777,967,554.89
  5. Step 5: Solve for x
    x = 30,777,967,554.89/229,745.92
  6. Step 6: Final answer
    x = 133,965.24

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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.