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Finding the Fourth Proportional to 208,993.22, 288,456.60 and 137,379.92

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Solution

The fourth proportional to 208,993.22, 288,456.60 and 137,379.92 is: 189,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,993.22 : 288,456.60 = 137,379.92 : x
  2. Step 2: Convert to fraction form
    208,993.22/288,456.60 = 137,379.92/x
  3. Step 3: Cross multiply
    208,993.22x = 288,456.60 × 137,379.92
  4. Step 4: Simplify right side
    208,993.22x = 39,628,144,631.47
  5. Step 5: Solve for x
    x = 39,628,144,631.47/208,993.22
  6. Step 6: Final answer
    x = 189,614.50

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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.