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Finding the Fourth Proportional to 110,421.20, 165,631.80 and 75,429.20

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Solution

The fourth proportional to 110,421.20, 165,631.80 and 75,429.20 is: 113,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,421.20 : 165,631.80 = 75,429.20 : x
  2. Step 2: Convert to fraction form
    110,421.20/165,631.80 = 75,429.20/x
  3. Step 3: Cross multiply
    110,421.20x = 165,631.80 × 75,429.20
  4. Step 4: Simplify right side
    110,421.20x = 12,493,474,168.56
  5. Step 5: Solve for x
    x = 12,493,474,168.56/110,421.20
  6. Step 6: Final answer
    x = 113,143.80

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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.