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Finding the Fourth Proportional to 229,714, 344,571.02 and 71,954.75

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Solution

The fourth proportional to 229,714, 344,571.02 and 71,954.75 is: 107,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,714 : 344,571.02 = 71,954.75 : x
  2. Step 2: Convert to fraction form
    229,714/344,571.02 = 71,954.75/x
  3. Step 3: Cross multiply
    229,714x = 344,571.02 × 71,954.75
  4. Step 4: Simplify right side
    229,714x = 24,793,521,601.35
  5. Step 5: Solve for x
    x = 24,793,521,601.35/229,714
  6. Step 6: Final answer
    x = 107,932.13

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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.