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Finding the Fourth Proportional to 202,279.68, 303,416.28 and 77,620.68

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Solution

The fourth proportional to 202,279.68, 303,416.28 and 77,620.68 is: 116,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,279.68 : 303,416.28 = 77,620.68 : x
  2. Step 2: Convert to fraction form
    202,279.68/303,416.28 = 77,620.68/x
  3. Step 3: Cross multiply
    202,279.68x = 303,416.28 × 77,620.68
  4. Step 4: Simplify right side
    202,279.68x = 23,551,377,976.67
  5. Step 5: Solve for x
    x = 23,551,377,976.67/202,279.68
  6. Step 6: Final answer
    x = 116,429.78

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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.