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Finding the Fourth Proportional to 165,883.20, 248,824.80 and 41,224.20

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Solution

The fourth proportional to 165,883.20, 248,824.80 and 41,224.20 is: 61,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,883.20 : 248,824.80 = 41,224.20 : x
  2. Step 2: Convert to fraction form
    165,883.20/248,824.80 = 41,224.20/x
  3. Step 3: Cross multiply
    165,883.20x = 248,824.80 × 41,224.20
  4. Step 4: Simplify right side
    165,883.20x = 10,257,603,320.16
  5. Step 5: Solve for x
    x = 10,257,603,320.16/165,883.20
  6. Step 6: Final answer
    x = 61,836.30

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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.