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Finding the Fourth Proportional to 106,424.43, 146,866.70 and 58,679.47

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Solution

The fourth proportional to 106,424.43, 146,866.70 and 58,679.47 is: 80,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,424.43 : 146,866.70 = 58,679.47 : x
  2. Step 2: Convert to fraction form
    106,424.43/146,866.70 = 58,679.47/x
  3. Step 3: Cross multiply
    106,424.43x = 146,866.70 × 58,679.47
  4. Step 4: Simplify right side
    106,424.43x = 8,618,060,116.65
  5. Step 5: Solve for x
    x = 8,618,060,116.65/106,424.43
  6. Step 6: Final answer
    x = 80,978.21

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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.