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Finding the Fourth Proportional to 165,892.80, 248,839.20 and 55,084.80

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Solution

The fourth proportional to 165,892.80, 248,839.20 and 55,084.80 is: 82,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,892.80 : 248,839.20 = 55,084.80 : x
  2. Step 2: Convert to fraction form
    165,892.80/248,839.20 = 55,084.80/x
  3. Step 3: Cross multiply
    165,892.80x = 248,839.20 × 55,084.80
  4. Step 4: Simplify right side
    165,892.80x = 13,707,257,564.16
  5. Step 5: Solve for x
    x = 13,707,257,564.16/165,892.80
  6. Step 6: Final answer
    x = 82,627.20

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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.