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Finding the Fourth Proportional to 202,514.10, 303,479.55 and 90,102.30

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Solution

The fourth proportional to 202,514.10, 303,479.55 and 90,102.30 is: 135,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,514.10 : 303,479.55 = 90,102.30 : x
  2. Step 2: Convert to fraction form
    202,514.10/303,479.55 = 90,102.30/x
  3. Step 3: Cross multiply
    202,514.10x = 303,479.55 × 90,102.30
  4. Step 4: Simplify right side
    202,514.10x = 27,344,205,457.97
  5. Step 5: Solve for x
    x = 27,344,205,457.97/202,514.10
  6. Step 6: Final answer
    x = 135,023.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.