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Finding the Fourth Proportional to 229,721.84, 344,516.20 and 89,449.20

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Solution

The fourth proportional to 229,721.84, 344,516.20 and 89,449.20 is: 134,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,721.84 : 344,516.20 = 89,449.20 : x
  2. Step 2: Convert to fraction form
    229,721.84/344,516.20 = 89,449.20/x
  3. Step 3: Cross multiply
    229,721.84x = 344,516.20 × 89,449.20
  4. Step 4: Simplify right side
    229,721.84x = 30,816,698,477.04
  5. Step 5: Solve for x
    x = 30,816,698,477.04/229,721.84
  6. Step 6: Final answer
    x = 134,147.88

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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.