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Finding the Fourth Proportional to 202,367.34, 303,565.68 and 77,708.34

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Solution

The fourth proportional to 202,367.34, 303,565.68 and 77,708.34 is: 116,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,367.34 : 303,565.68 = 77,708.34 : x
  2. Step 2: Convert to fraction form
    202,367.34/303,565.68 = 77,708.34/x
  3. Step 3: Cross multiply
    202,367.34x = 303,565.68 × 77,708.34
  4. Step 4: Simplify right side
    202,367.34x = 23,589,585,073.77
  5. Step 5: Solve for x
    x = 23,589,585,073.77/202,367.34
  6. Step 6: Final answer
    x = 116,568.14

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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.