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Finding the Fourth Proportional to 165,963.44, 248,908.44 and 66,105.20

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Solution

The fourth proportional to 165,963.44, 248,908.44 and 66,105.20 is: 99,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,963.44 : 248,908.44 = 66,105.20 : x
  2. Step 2: Convert to fraction form
    165,963.44/248,908.44 = 66,105.20/x
  3. Step 3: Cross multiply
    165,963.44x = 248,908.44 × 66,105.20
  4. Step 4: Simplify right side
    165,963.44x = 16,454,142,207.89
  5. Step 5: Solve for x
    x = 16,454,142,207.89/165,963.44
  6. Step 6: Final answer
    x = 99,143.17

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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.