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Finding the Fourth Proportional to 202,197.97, 303,335.84 and 77,529.25

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Solution

The fourth proportional to 202,197.97, 303,335.84 and 77,529.25 is: 116,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,197.97 : 303,335.84 = 77,529.25 : x
  2. Step 2: Convert to fraction form
    202,197.97/303,335.84 = 77,529.25/x
  3. Step 3: Cross multiply
    202,197.97x = 303,335.84 × 77,529.25
  4. Step 4: Simplify right side
    202,197.97x = 23,517,400,173.32
  5. Step 5: Solve for x
    x = 23,517,400,173.32/202,197.97
  6. Step 6: Final answer
    x = 116,308.78

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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.