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Finding the Fourth Proportional to 202,371.75, 303,572.34 and 77,712.75

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Solution

The fourth proportional to 202,371.75, 303,572.34 and 77,712.75 is: 116,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,371.75 : 303,572.34 = 77,712.75 : x
  2. Step 2: Convert to fraction form
    202,371.75/303,572.34 = 77,712.75/x
  3. Step 3: Cross multiply
    202,371.75x = 303,572.34 × 77,712.75
  4. Step 4: Simplify right side
    202,371.75x = 23,591,441,365.34
  5. Step 5: Solve for x
    x = 23,591,441,365.34/202,371.75
  6. Step 6: Final answer
    x = 116,574.78

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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.