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Finding the Fourth Proportional to 106,490.28, 146,963.04 and 58,743.48

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Solution

The fourth proportional to 106,490.28, 146,963.04 and 58,743.48 is: 81,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,490.28 : 146,963.04 = 58,743.48 : x
  2. Step 2: Convert to fraction form
    106,490.28/146,963.04 = 58,743.48/x
  3. Step 3: Cross multiply
    106,490.28x = 146,963.04 × 58,743.48
  4. Step 4: Simplify right side
    106,490.28x = 8,633,120,400.98
  5. Step 5: Solve for x
    x = 8,633,120,400.98/106,490.28
  6. Step 6: Final answer
    x = 81,069.56

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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.