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Finding the Fourth Proportional to 106,424.73, 146,867.13 and 58,679.78

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Solution

The fourth proportional to 106,424.73, 146,867.13 and 58,679.78 is: 80,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,424.73 : 146,867.13 = 58,679.78 : x
  2. Step 2: Convert to fraction form
    106,424.73/146,867.13 = 58,679.78/x
  3. Step 3: Cross multiply
    106,424.73x = 146,867.13 × 58,679.78
  4. Step 4: Simplify right side
    106,424.73x = 8,618,130,143.30
  5. Step 5: Solve for x
    x = 8,618,130,143.30/106,424.73
  6. Step 6: Final answer
    x = 80,978.64

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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.