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Finding the Fourth Proportional to 137,887.01, 206,826.41 and 38,053.19

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Solution

The fourth proportional to 137,887.01, 206,826.41 and 38,053.19 is: 57,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,887.01 : 206,826.41 = 38,053.19 : x
  2. Step 2: Convert to fraction form
    137,887.01/206,826.41 = 38,053.19/x
  3. Step 3: Cross multiply
    137,887.01x = 206,826.41 × 38,053.19
  4. Step 4: Simplify right side
    137,887.01x = 7,870,405,288.95
  5. Step 5: Solve for x
    x = 7,870,405,288.95/137,887.01
  6. Step 6: Final answer
    x = 57,078.66

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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.