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Finding the Fourth Proportional to 217,198.30, 299,401.38 and 152,485.99

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Solution

The fourth proportional to 217,198.30, 299,401.38 and 152,485.99 is: 210,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,198.30 : 299,401.38 = 152,485.99 : x
  2. Step 2: Convert to fraction form
    217,198.30/299,401.38 = 152,485.99/x
  3. Step 3: Cross multiply
    217,198.30x = 299,401.38 × 152,485.99
  4. Step 4: Simplify right side
    217,198.30x = 45,654,515,836.67
  5. Step 5: Solve for x
    x = 45,654,515,836.67/217,198.30
  6. Step 6: Final answer
    x = 210,197.39

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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.