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Finding the Fourth Proportional to 229,957.35, 317,337.97 and 127,982.78

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Solution

The fourth proportional to 229,957.35, 317,337.97 and 127,982.78 is: 176,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,957.35 : 317,337.97 = 127,982.78 : x
  2. Step 2: Convert to fraction form
    229,957.35/317,337.97 = 127,982.78/x
  3. Step 3: Cross multiply
    229,957.35x = 317,337.97 × 127,982.78
  4. Step 4: Simplify right side
    229,957.35x = 40,613,796,908.52
  5. Step 5: Solve for x
    x = 40,613,796,908.52/229,957.35
  6. Step 6: Final answer
    x = 176,614.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.