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Finding the Fourth Proportional to 231,921.64, 347,932.10 and 71,994.06

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Solution

The fourth proportional to 231,921.64, 347,932.10 and 71,994.06 is: 108,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,921.64 : 347,932.10 = 71,994.06 : x
  2. Step 2: Convert to fraction form
    231,921.64/347,932.10 = 71,994.06/x
  3. Step 3: Cross multiply
    231,921.64x = 347,932.10 × 71,994.06
  4. Step 4: Simplify right side
    231,921.64x = 25,049,044,483.33
  5. Step 5: Solve for x
    x = 25,049,044,483.33/231,921.64
  6. Step 6: Final answer
    x = 108,006.50

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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.