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Finding the Fourth Proportional to 165,728.80, 248,593.20 and 86,867.20

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Solution

The fourth proportional to 165,728.80, 248,593.20 and 86,867.20 is: 130,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,728.80 : 248,593.20 = 86,867.20 : x
  2. Step 2: Convert to fraction form
    165,728.80/248,593.20 = 86,867.20/x
  3. Step 3: Cross multiply
    165,728.80x = 248,593.20 × 86,867.20
  4. Step 4: Simplify right side
    165,728.80x = 21,594,595,223.04
  5. Step 5: Solve for x
    x = 21,594,595,223.04/165,728.80
  6. Step 6: Final answer
    x = 130,300.80

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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.