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Finding the Fourth Proportional to 223,200.80, 334,801.20 and 75,456.80

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Solution

The fourth proportional to 223,200.80, 334,801.20 and 75,456.80 is: 113,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.80 : 334,801.20 = 75,456.80 : x
  2. Step 2: Convert to fraction form
    223,200.80/334,801.20 = 75,456.80/x
  3. Step 3: Cross multiply
    223,200.80x = 334,801.20 × 75,456.80
  4. Step 4: Simplify right side
    223,200.80x = 25,263,027,188.16
  5. Step 5: Solve for x
    x = 25,263,027,188.16/223,200.80
  6. Step 6: Final answer
    x = 113,185.20

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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.