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Finding the Fourth Proportional to 106,149.78, 146,486.94 and 58,406.20

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Solution

The fourth proportional to 106,149.78, 146,486.94 and 58,406.20 is: 80,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,149.78 : 146,486.94 = 58,406.20 : x
  2. Step 2: Convert to fraction form
    106,149.78/146,486.94 = 58,406.20/x
  3. Step 3: Cross multiply
    106,149.78x = 146,486.94 × 58,406.20
  4. Step 4: Simplify right side
    106,149.78x = 8,555,745,515.03
  5. Step 5: Solve for x
    x = 8,555,745,515.03/106,149.78
  6. Step 6: Final answer
    x = 80,600.69

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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.