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Finding the Fourth Proportional to 165,767.58, 248,653.11 and 132,697.87

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Solution

The fourth proportional to 165,767.58, 248,653.11 and 132,697.87 is: 199,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,767.58 : 248,653.11 = 132,697.87 : x
  2. Step 2: Convert to fraction form
    165,767.58/248,653.11 = 132,697.87/x
  3. Step 3: Cross multiply
    165,767.58x = 248,653.11 × 132,697.87
  4. Step 4: Simplify right side
    165,767.58x = 32,995,738,065.88
  5. Step 5: Solve for x
    x = 32,995,738,065.88/165,767.58
  6. Step 6: Final answer
    x = 199,048.20

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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.