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Finding the Fourth Proportional to 241,346.80, 362,020.20 and 83,522.80

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Solution

The fourth proportional to 241,346.80, 362,020.20 and 83,522.80 is: 125,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,346.80 : 362,020.20 = 83,522.80 : x
  2. Step 2: Convert to fraction form
    241,346.80/362,020.20 = 83,522.80/x
  3. Step 3: Cross multiply
    241,346.80x = 362,020.20 × 83,522.80
  4. Step 4: Simplify right side
    241,346.80x = 30,236,940,760.56
  5. Step 5: Solve for x
    x = 30,236,940,760.56/241,346.80
  6. Step 6: Final answer
    x = 125,284.20

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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.