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Finding the Fourth Proportional to 200,166.83, 300,080.67 and 87,761.86

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Solution

The fourth proportional to 200,166.83, 300,080.67 and 87,761.86 is: 131,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,166.83 : 300,080.67 = 87,761.86 : x
  2. Step 2: Convert to fraction form
    200,166.83/300,080.67 = 87,761.86/x
  3. Step 3: Cross multiply
    200,166.83x = 300,080.67 × 87,761.86
  4. Step 4: Simplify right side
    200,166.83x = 26,335,637,749.25
  5. Step 5: Solve for x
    x = 26,335,637,749.25/200,166.83
  6. Step 6: Final answer
    x = 131,568.44

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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.