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Finding the Fourth Proportional to 137,910.24, 206,866.08 and 54,804.48

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Solution

The fourth proportional to 137,910.24, 206,866.08 and 54,804.48 is: 82,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,910.24 : 206,866.08 = 54,804.48 : x
  2. Step 2: Convert to fraction form
    137,910.24/206,866.08 = 54,804.48/x
  3. Step 3: Cross multiply
    137,910.24x = 206,866.08 × 54,804.48
  4. Step 4: Simplify right side
    137,910.24x = 11,337,187,944.04
  5. Step 5: Solve for x
    x = 11,337,187,944.04/137,910.24
  6. Step 6: Final answer
    x = 82,207.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.