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Finding the Fourth Proportional to 110,352.80, 165,529.20 and 82,359.20

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Solution

The fourth proportional to 110,352.80, 165,529.20 and 82,359.20 is: 123,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,352.80 : 165,529.20 = 82,359.20 : x
  2. Step 2: Convert to fraction form
    110,352.80/165,529.20 = 82,359.20/x
  3. Step 3: Cross multiply
    110,352.80x = 165,529.20 × 82,359.20
  4. Step 4: Simplify right side
    110,352.80x = 13,632,852,488.64
  5. Step 5: Solve for x
    x = 13,632,852,488.64/110,352.80
  6. Step 6: Final answer
    x = 123,538.80

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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.