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Finding the Fourth Proportional to 106,977, 147,629.27 and 59,231.37

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Solution

The fourth proportional to 106,977, 147,629.27 and 59,231.37 is: 81,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,977 : 147,629.27 = 59,231.37 : x
  2. Step 2: Convert to fraction form
    106,977/147,629.27 = 59,231.37/x
  3. Step 3: Cross multiply
    106,977x = 147,629.27 × 59,231.37
  4. Step 4: Simplify right side
    106,977x = 8,744,283,618.04
  5. Step 5: Solve for x
    x = 8,744,283,618.04/106,977
  6. Step 6: Final answer
    x = 81,739.85

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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.