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Finding the Fourth Proportional to 96,096.96, 144,028.44 and 68,024.96

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Solution

The fourth proportional to 96,096.96, 144,028.44 and 68,024.96 is: 101,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,096.96 : 144,028.44 = 68,024.96 : x
  2. Step 2: Convert to fraction form
    96,096.96/144,028.44 = 68,024.96/x
  3. Step 3: Cross multiply
    96,096.96x = 144,028.44 × 68,024.96
  4. Step 4: Simplify right side
    96,096.96x = 9,797,528,869.86
  5. Step 5: Solve for x
    x = 9,797,528,869.86/96,096.96
  6. Step 6: Final answer
    x = 101,954.62

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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.