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Finding the Fourth Proportional to 106,042.50, 146,342.07 and 58,299.30

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Solution

The fourth proportional to 106,042.50, 146,342.07 and 58,299.30 is: 80,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,042.50 : 146,342.07 = 58,299.30 : x
  2. Step 2: Convert to fraction form
    106,042.50/146,342.07 = 58,299.30/x
  3. Step 3: Cross multiply
    106,042.50x = 146,342.07 × 58,299.30
  4. Step 4: Simplify right side
    106,042.50x = 8,531,640,241.55
  5. Step 5: Solve for x
    x = 8,531,640,241.55/106,042.50
  6. Step 6: Final answer
    x = 80,454.91

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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.