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Finding the Fourth Proportional to 132,448.82, 198,714.20 and 45,902.03

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Solution

The fourth proportional to 132,448.82, 198,714.20 and 45,902.03 is: 68,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,448.82 : 198,714.20 = 45,902.03 : x
  2. Step 2: Convert to fraction form
    132,448.82/198,714.20 = 45,902.03/x
  3. Step 3: Cross multiply
    132,448.82x = 198,714.20 × 45,902.03
  4. Step 4: Simplify right side
    132,448.82x = 9,121,383,946.74
  5. Step 5: Solve for x
    x = 9,121,383,946.74/132,448.82
  6. Step 6: Final answer
    x = 68,867.24

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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.