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Finding the Fourth Proportional to 229,794.79, 344,691.67 and 109,486.55

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Solution

The fourth proportional to 229,794.79, 344,691.67 and 109,486.55 is: 164,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,794.79 : 344,691.67 = 109,486.55 : x
  2. Step 2: Convert to fraction form
    229,794.79/344,691.67 = 109,486.55/x
  3. Step 3: Cross multiply
    229,794.79x = 344,691.67 × 109,486.55
  4. Step 4: Simplify right side
    229,794.79x = 37,739,101,762.04
  5. Step 5: Solve for x
    x = 37,739,101,762.04/229,794.79
  6. Step 6: Final answer
    x = 164,229.58

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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.