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Finding the Fourth Proportional to 217,590.86, 300,270.62 and 120,789.15

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Solution

The fourth proportional to 217,590.86, 300,270.62 and 120,789.15 is: 166,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,590.86 : 300,270.62 = 120,789.15 : x
  2. Step 2: Convert to fraction form
    217,590.86/300,270.62 = 120,789.15/x
  3. Step 3: Cross multiply
    217,590.86x = 300,270.62 × 120,789.15
  4. Step 4: Simplify right side
    217,590.86x = 36,269,432,640.52
  5. Step 5: Solve for x
    x = 36,269,432,640.52/217,590.86
  6. Step 6: Final answer
    x = 166,686.38

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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.