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Finding the Fourth Proportional to 229,967.44, 344,954.27 and 72,195.91

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Solution

The fourth proportional to 229,967.44, 344,954.27 and 72,195.91 is: 108,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,967.44 : 344,954.27 = 72,195.91 : x
  2. Step 2: Convert to fraction form
    229,967.44/344,954.27 = 72,195.91/x
  3. Step 3: Cross multiply
    229,967.44x = 344,954.27 × 72,195.91
  4. Step 4: Simplify right side
    229,967.44x = 24,904,286,749.14
  5. Step 5: Solve for x
    x = 24,904,286,749.14/229,967.44
  6. Step 6: Final answer
    x = 108,294.84

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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.