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Finding the Fourth Proportional to 96,093.95, 144,023.94 and 68,021.96

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Solution

The fourth proportional to 96,093.95, 144,023.94 and 68,021.96 is: 101,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,093.95 : 144,023.94 = 68,021.96 : x
  2. Step 2: Convert to fraction form
    96,093.95/144,023.94 = 68,021.96/x
  3. Step 3: Cross multiply
    96,093.95x = 144,023.94 × 68,021.96
  4. Step 4: Simplify right side
    96,093.95x = 9,796,789,965.60
  5. Step 5: Solve for x
    x = 9,796,789,965.60/96,093.95
  6. Step 6: Final answer
    x = 101,950.13

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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.