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Finding the Fourth Proportional to 154,383.38, 213,049.06 and 83,727.38

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Solution

The fourth proportional to 154,383.38, 213,049.06 and 83,727.38 is: 115,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,383.38 : 213,049.06 = 83,727.38 : x
  2. Step 2: Convert to fraction form
    154,383.38/213,049.06 = 83,727.38/x
  3. Step 3: Cross multiply
    154,383.38x = 213,049.06 × 83,727.38
  4. Step 4: Simplify right side
    154,383.38x = 17,838,039,605.26
  5. Step 5: Solve for x
    x = 17,838,039,605.26/154,383.38
  6. Step 6: Final answer
    x = 115,543.78

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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.