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Finding the Fourth Proportional to 106,111.50, 146,454.67 and 60,819.84

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Solution

The fourth proportional to 106,111.50, 146,454.67 and 60,819.84 is: 83,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,111.50 : 146,454.67 = 60,819.84 : x
  2. Step 2: Convert to fraction form
    106,111.50/146,454.67 = 60,819.84/x
  3. Step 3: Cross multiply
    106,111.50x = 146,454.67 × 60,819.84
  4. Step 4: Simplify right side
    106,111.50x = 8,907,350,221.88
  5. Step 5: Solve for x
    x = 8,907,350,221.88/106,111.50
  6. Step 6: Final answer
    x = 83,943.31

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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.