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Finding the Fourth Proportional to 165,770.56, 248,657.56 and 132,700.84

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Solution

The fourth proportional to 165,770.56, 248,657.56 and 132,700.84 is: 199,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770.56 : 248,657.56 = 132,700.84 : x
  2. Step 2: Convert to fraction form
    165,770.56/248,657.56 = 132,700.84/x
  3. Step 3: Cross multiply
    165,770.56x = 248,657.56 × 132,700.84
  4. Step 4: Simplify right side
    165,770.56x = 32,997,067,084.35
  5. Step 5: Solve for x
    x = 32,997,067,084.35/165,770.56
  6. Step 6: Final answer
    x = 199,052.64

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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.