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Finding the Fourth Proportional to 106,022.40, 158,726.40 and 94,963.20

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Solution

The fourth proportional to 106,022.40, 158,726.40 and 94,963.20 is: 142,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,022.40 : 158,726.40 = 94,963.20 : x
  2. Step 2: Convert to fraction form
    106,022.40/158,726.40 = 94,963.20/x
  3. Step 3: Cross multiply
    106,022.40x = 158,726.40 × 94,963.20
  4. Step 4: Simplify right side
    106,022.40x = 15,073,166,868.48
  5. Step 5: Solve for x
    x = 15,073,166,868.48/106,022.40
  6. Step 6: Final answer
    x = 142,169.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.