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Finding the Fourth Proportional to 200,755.16, 301,149.12 and 100,863.80

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Solution

The fourth proportional to 200,755.16, 301,149.12 and 100,863.80 is: 151,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.16 : 301,149.12 = 100,863.80 : x
  2. Step 2: Convert to fraction form
    200,755.16/301,149.12 = 100,863.80/x
  3. Step 3: Cross multiply
    200,755.16x = 301,149.12 × 100,863.80
  4. Step 4: Simplify right side
    200,755.16x = 30,375,044,609.86
  5. Step 5: Solve for x
    x = 30,375,044,609.86/200,755.16
  6. Step 6: Final answer
    x = 151,303.93

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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.