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Finding the Fourth Proportional to 101,647.46, 140,322.58 and 67,713.14

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Solution

The fourth proportional to 101,647.46, 140,322.58 and 67,713.14 is: 93,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,647.46 : 140,322.58 = 67,713.14 : x
  2. Step 2: Convert to fraction form
    101,647.46/140,322.58 = 67,713.14/x
  3. Step 3: Cross multiply
    101,647.46x = 140,322.58 × 67,713.14
  4. Step 4: Simplify right side
    101,647.46x = 9,501,682,504.70
  5. Step 5: Solve for x
    x = 9,501,682,504.70/101,647.46
  6. Step 6: Final answer
    x = 93,476.83

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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.