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Finding the Fourth Proportional to 188,651.49, 260,337.83 and 106,995.30

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Solution

The fourth proportional to 188,651.49, 260,337.83 and 106,995.30 is: 147,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,651.49 : 260,337.83 = 106,995.30 : x
  2. Step 2: Convert to fraction form
    188,651.49/260,337.83 = 106,995.30/x
  3. Step 3: Cross multiply
    188,651.49x = 260,337.83 × 106,995.30
  4. Step 4: Simplify right side
    188,651.49x = 27,854,923,687.22
  5. Step 5: Solve for x
    x = 27,854,923,687.22/188,651.49
  6. Step 6: Final answer
    x = 147,652.82

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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.