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Finding the Fourth Proportional to 104,993.16, 144,902.85 and 59,677.95

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Solution

The fourth proportional to 104,993.16, 144,902.85 and 59,677.95 is: 82,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,993.16 : 144,902.85 = 59,677.95 : x
  2. Step 2: Convert to fraction form
    104,993.16/144,902.85 = 59,677.95/x
  3. Step 3: Cross multiply
    104,993.16x = 144,902.85 × 59,677.95
  4. Step 4: Simplify right side
    104,993.16x = 8,647,505,037.16
  5. Step 5: Solve for x
    x = 8,647,505,037.16/104,993.16
  6. Step 6: Final answer
    x = 82,362.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.