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Finding the Fourth Proportional to 202,103.24, 278,899.62 and 117,234.68

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Solution

The fourth proportional to 202,103.24, 278,899.62 and 117,234.68 is: 161,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,103.24 : 278,899.62 = 117,234.68 : x
  2. Step 2: Convert to fraction form
    202,103.24/278,899.62 = 117,234.68/x
  3. Step 3: Cross multiply
    202,103.24x = 278,899.62 × 117,234.68
  4. Step 4: Simplify right side
    202,103.24x = 32,696,707,702.82
  5. Step 5: Solve for x
    x = 32,696,707,702.82/202,103.24
  6. Step 6: Final answer
    x = 161,782.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.