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Finding the Fourth Proportional to 203,906.46, 305,862.77 and 70,790.95

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Solution

The fourth proportional to 203,906.46, 305,862.77 and 70,790.95 is: 106,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906.46 : 305,862.77 = 70,790.95 : x
  2. Step 2: Convert to fraction form
    203,906.46/305,862.77 = 70,790.95/x
  3. Step 3: Cross multiply
    203,906.46x = 305,862.77 × 70,790.95
  4. Step 4: Simplify right side
    203,906.46x = 21,652,316,057.93
  5. Step 5: Solve for x
    x = 21,652,316,057.93/203,906.46
  6. Step 6: Final answer
    x = 106,187.49

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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.