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Finding the Fourth Proportional to 106,223.45, 146,575.05 and 71,843.14

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Solution

The fourth proportional to 106,223.45, 146,575.05 and 71,843.14 is: 99,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,223.45 : 146,575.05 = 71,843.14 : x
  2. Step 2: Convert to fraction form
    106,223.45/146,575.05 = 71,843.14/x
  3. Step 3: Cross multiply
    106,223.45x = 146,575.05 × 71,843.14
  4. Step 4: Simplify right side
    106,223.45x = 10,530,411,104.78
  5. Step 5: Solve for x
    x = 10,530,411,104.78/106,223.45
  6. Step 6: Final answer
    x = 99,134.52

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