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Finding the Fourth Proportional to 121,778.16, 167,944.66 and 101,427.78

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Solution

The fourth proportional to 121,778.16, 167,944.66 and 101,427.78 is: 139,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,778.16 : 167,944.66 = 101,427.78 : x
  2. Step 2: Convert to fraction form
    121,778.16/167,944.66 = 101,427.78/x
  3. Step 3: Cross multiply
    121,778.16x = 167,944.66 × 101,427.78
  4. Step 4: Simplify right side
    121,778.16x = 17,034,254,026.65
  5. Step 5: Solve for x
    x = 17,034,254,026.65/121,778.16
  6. Step 6: Final answer
    x = 139,879.38

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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.