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Finding the Fourth Proportional to 185,054.88, 277,540.78 and 85,119.08

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Solution

The fourth proportional to 185,054.88, 277,540.78 and 85,119.08 is: 127,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,054.88 : 277,540.78 = 85,119.08 : x
  2. Step 2: Convert to fraction form
    185,054.88/277,540.78 = 85,119.08/x
  3. Step 3: Cross multiply
    185,054.88x = 277,540.78 × 85,119.08
  4. Step 4: Simplify right side
    185,054.88x = 23,624,015,856.08
  5. Step 5: Solve for x
    x = 23,624,015,856.08/185,054.88
  6. Step 6: Final answer
    x = 127,659.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.