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Finding the Fourth Proportional to 101,888.82, 140,748.33 and 96,906.54

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Solution

The fourth proportional to 101,888.82, 140,748.33 and 96,906.54 is: 133,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,888.82 : 140,748.33 = 96,906.54 : x
  2. Step 2: Convert to fraction form
    101,888.82/140,748.33 = 96,906.54/x
  3. Step 3: Cross multiply
    101,888.82x = 140,748.33 × 96,906.54
  4. Step 4: Simplify right side
    101,888.82x = 13,639,433,671.08
  5. Step 5: Solve for x
    x = 13,639,433,671.08/101,888.82
  6. Step 6: Final answer
    x = 133,865.85

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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.