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Finding the Fourth Proportional to 229,713, 344,569.52 and 71,953.75

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Solution

The fourth proportional to 229,713, 344,569.52 and 71,953.75 is: 107,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,713 : 344,569.52 = 71,953.75 : x
  2. Step 2: Convert to fraction form
    229,713/344,569.52 = 71,953.75/x
  3. Step 3: Cross multiply
    229,713x = 344,569.52 × 71,953.75
  4. Step 4: Simplify right side
    229,713x = 24,793,069,099.70
  5. Step 5: Solve for x
    x = 24,793,069,099.70/229,713
  6. Step 6: Final answer
    x = 107,930.63

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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.