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Finding the Fourth Proportional to 229,715.25, 344,572.89 and 71,956

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Solution

The fourth proportional to 229,715.25, 344,572.89 and 71,956 is: 107,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,715.25 : 344,572.89 = 71,956 : x
  2. Step 2: Convert to fraction form
    229,715.25/344,572.89 = 71,956/x
  3. Step 3: Cross multiply
    229,715.25x = 344,572.89 × 71,956
  4. Step 4: Simplify right side
    229,715.25x = 24,794,086,872.84
  5. Step 5: Solve for x
    x = 24,794,086,872.84/229,715.25
  6. Step 6: Final answer
    x = 107,934.00

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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.