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Finding the Fourth Proportional to 96,065.88, 143,803.54 and 81,894.12

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Solution

The fourth proportional to 96,065.88, 143,803.54 and 81,894.12 is: 122,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,065.88 : 143,803.54 = 81,894.12 : x
  2. Step 2: Convert to fraction form
    96,065.88/143,803.54 = 81,894.12/x
  3. Step 3: Cross multiply
    96,065.88x = 143,803.54 × 81,894.12
  4. Step 4: Simplify right side
    96,065.88x = 11,776,664,361.18
  5. Step 5: Solve for x
    x = 11,776,664,361.18/96,065.88
  6. Step 6: Final answer
    x = 122,589.46

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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.