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Finding the Fourth Proportional to 101,844.97, 140,448.42 and 61,002.57

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Solution

The fourth proportional to 101,844.97, 140,448.42 and 61,002.57 is: 84,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,844.97 : 140,448.42 = 61,002.57 : x
  2. Step 2: Convert to fraction form
    101,844.97/140,448.42 = 61,002.57/x
  3. Step 3: Cross multiply
    101,844.97x = 140,448.42 × 61,002.57
  4. Step 4: Simplify right side
    101,844.97x = 8,567,714,309.10
  5. Step 5: Solve for x
    x = 8,567,714,309.10/101,844.97
  6. Step 6: Final answer
    x = 84,125.06

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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.