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Finding the Fourth Proportional to 122,749.67, 169,353.82 and 100,049.63

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Solution

The fourth proportional to 122,749.67, 169,353.82 and 100,049.63 is: 138,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,749.67 : 169,353.82 = 100,049.63 : x
  2. Step 2: Convert to fraction form
    122,749.67/169,353.82 = 100,049.63/x
  3. Step 3: Cross multiply
    122,749.67x = 169,353.82 × 100,049.63
  4. Step 4: Simplify right side
    122,749.67x = 16,943,786,308.38
  5. Step 5: Solve for x
    x = 16,943,786,308.38/122,749.67
  6. Step 6: Final answer
    x = 138,035.29

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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.