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Finding the Fourth Proportional to 217,013.24, 299,474.99 and 121,523.36

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Solution

The fourth proportional to 217,013.24, 299,474.99 and 121,523.36 is: 167,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,013.24 : 299,474.99 = 121,523.36 : x
  2. Step 2: Convert to fraction form
    217,013.24/299,474.99 = 121,523.36/x
  3. Step 3: Cross multiply
    217,013.24x = 299,474.99 × 121,523.36
  4. Step 4: Simplify right side
    217,013.24x = 36,393,205,523.39
  5. Step 5: Solve for x
    x = 36,393,205,523.39/217,013.24
  6. Step 6: Final answer
    x = 167,700.39

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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.