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Finding the Fourth Proportional to 165,781.77, 248,711.54 and 65,947.65

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Solution

The fourth proportional to 165,781.77, 248,711.54 and 65,947.65 is: 98,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,781.77 : 248,711.54 = 65,947.65 : x
  2. Step 2: Convert to fraction form
    165,781.77/248,711.54 = 65,947.65/x
  3. Step 3: Cross multiply
    165,781.77x = 248,711.54 × 65,947.65
  4. Step 4: Simplify right side
    165,781.77x = 16,401,941,261.14
  5. Step 5: Solve for x
    x = 16,401,941,261.14/165,781.77
  6. Step 6: Final answer
    x = 98,936.94

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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.