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Finding the Fourth Proportional to 202,944.29, 280,092.82 and 116,886.72

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Solution

The fourth proportional to 202,944.29, 280,092.82 and 116,886.72 is: 161,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,944.29 : 280,092.82 = 116,886.72 : x
  2. Step 2: Convert to fraction form
    202,944.29/280,092.82 = 116,886.72/x
  3. Step 3: Cross multiply
    202,944.29x = 280,092.82 × 116,886.72
  4. Step 4: Simplify right side
    202,944.29x = 32,739,131,338.16
  5. Step 5: Solve for x
    x = 32,739,131,338.16/202,944.29
  6. Step 6: Final answer
    x = 161,320.78

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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.