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Finding the Fourth Proportional to 217,474.94, 300,115.20 and 121,980.80

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Solution

The fourth proportional to 217,474.94, 300,115.20 and 121,980.80 is: 168,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,474.94 : 300,115.20 = 121,980.80 : x
  2. Step 2: Convert to fraction form
    217,474.94/300,115.20 = 121,980.80/x
  3. Step 3: Cross multiply
    217,474.94x = 300,115.20 × 121,980.80
  4. Step 4: Simplify right side
    217,474.94x = 36,608,292,188.16
  5. Step 5: Solve for x
    x = 36,608,292,188.16/217,474.94
  6. Step 6: Final answer
    x = 168,333.38

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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.