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Finding the Fourth Proportional to 165,882.80, 248,824.20 and 41,223.80

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Solution

The fourth proportional to 165,882.80, 248,824.20 and 41,223.80 is: 61,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,882.80 : 248,824.20 = 41,223.80 : x
  2. Step 2: Convert to fraction form
    165,882.80/248,824.20 = 41,223.80/x
  3. Step 3: Cross multiply
    165,882.80x = 248,824.20 × 41,223.80
  4. Step 4: Simplify right side
    165,882.80x = 10,257,479,055.96
  5. Step 5: Solve for x
    x = 10,257,479,055.96/165,882.80
  6. Step 6: Final answer
    x = 61,835.70

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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.