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Finding the Fourth Proportional to 101,963.32, 140,726.10 and 58,944.22

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Solution

The fourth proportional to 101,963.32, 140,726.10 and 58,944.22 is: 81,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,963.32 : 140,726.10 = 58,944.22 : x
  2. Step 2: Convert to fraction form
    101,963.32/140,726.10 = 58,944.22/x
  3. Step 3: Cross multiply
    101,963.32x = 140,726.10 × 58,944.22
  4. Step 4: Simplify right side
    101,963.32x = 8,294,990,198.14
  5. Step 5: Solve for x
    x = 8,294,990,198.14/101,963.32
  6. Step 6: Final answer
    x = 81,352.69

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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.