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Finding the Fourth Proportional to 106,993.10, 147,650.47 and 59,246.45

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Solution

The fourth proportional to 106,993.10, 147,650.47 and 59,246.45 is: 81,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,993.10 : 147,650.47 = 59,246.45 : x
  2. Step 2: Convert to fraction form
    106,993.10/147,650.47 = 59,246.45/x
  3. Step 3: Cross multiply
    106,993.10x = 147,650.47 × 59,246.45
  4. Step 4: Simplify right side
    106,993.10x = 8,747,765,153.85
  5. Step 5: Solve for x
    x = 8,747,765,153.85/106,993.10
  6. Step 6: Final answer
    x = 81,760.09

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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.