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Finding the Fourth Proportional to 106,213.90, 146,575.14 and 58,467

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Solution

The fourth proportional to 106,213.90, 146,575.14 and 58,467 is: 80,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,213.90 : 146,575.14 = 58,467 : x
  2. Step 2: Convert to fraction form
    106,213.90/146,575.14 = 58,467/x
  3. Step 3: Cross multiply
    106,213.90x = 146,575.14 × 58,467
  4. Step 4: Simplify right side
    106,213.90x = 8,569,808,710.38
  5. Step 5: Solve for x
    x = 8,569,808,710.38/106,213.90
  6. Step 6: Final answer
    x = 80,684.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.