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Finding the Fourth Proportional to 101,822.09, 140,508.14 and 61,512.03

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Solution

The fourth proportional to 101,822.09, 140,508.14 and 61,512.03 is: 84,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,822.09 : 140,508.14 = 61,512.03 : x
  2. Step 2: Convert to fraction form
    101,822.09/140,508.14 = 61,512.03/x
  3. Step 3: Cross multiply
    101,822.09x = 140,508.14 × 61,512.03
  4. Step 4: Simplify right side
    101,822.09x = 8,642,940,615.36
  5. Step 5: Solve for x
    x = 8,642,940,615.36/101,822.09
  6. Step 6: Final answer
    x = 84,882.77

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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.