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Finding the Fourth Proportional to 107,163.38, 147,885.21 and 59,415.50

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Solution

The fourth proportional to 107,163.38, 147,885.21 and 59,415.50 is: 81,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,163.38 : 147,885.21 = 59,415.50 : x
  2. Step 2: Convert to fraction form
    107,163.38/147,885.21 = 59,415.50/x
  3. Step 3: Cross multiply
    107,163.38x = 147,885.21 × 59,415.50
  4. Step 4: Simplify right side
    107,163.38x = 8,786,673,694.76
  5. Step 5: Solve for x
    x = 8,786,673,694.76/107,163.38
  6. Step 6: Final answer
    x = 81,993.25

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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.