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Finding the Fourth Proportional to 123,212.38, 169,991.32 and 100,512.13

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Solution

The fourth proportional to 123,212.38, 169,991.32 and 100,512.13 is: 138,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,212.38 : 169,991.32 = 100,512.13 : x
  2. Step 2: Convert to fraction form
    123,212.38/169,991.32 = 100,512.13/x
  3. Step 3: Cross multiply
    123,212.38x = 169,991.32 × 100,512.13
  4. Step 4: Simplify right side
    123,212.38x = 17,086,189,152.15
  5. Step 5: Solve for x
    x = 17,086,189,152.15/123,212.38
  6. Step 6: Final answer
    x = 138,672.67

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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.