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Finding the Fourth Proportional to 110,658.20, 165,987.30 and 102,104.60

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Solution

The fourth proportional to 110,658.20, 165,987.30 and 102,104.60 is: 153,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,658.20 : 165,987.30 = 102,104.60 : x
  2. Step 2: Convert to fraction form
    110,658.20/165,987.30 = 102,104.60/x
  3. Step 3: Cross multiply
    110,658.20x = 165,987.30 × 102,104.60
  4. Step 4: Simplify right side
    110,658.20x = 16,948,066,871.58
  5. Step 5: Solve for x
    x = 16,948,066,871.58/110,658.20
  6. Step 6: Final answer
    x = 153,156.90

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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.