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Finding the Fourth Proportional to 151,464.38, 209,019.69 and 83,481.49

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Solution

The fourth proportional to 151,464.38, 209,019.69 and 83,481.49 is: 115,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,464.38 : 209,019.69 = 83,481.49 : x
  2. Step 2: Convert to fraction form
    151,464.38/209,019.69 = 83,481.49/x
  3. Step 3: Cross multiply
    151,464.38x = 209,019.69 × 83,481.49
  4. Step 4: Simplify right side
    151,464.38x = 17,449,274,246.08
  5. Step 5: Solve for x
    x = 17,449,274,246.08/151,464.38
  6. Step 6: Final answer
    x = 115,203.81

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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.