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Finding the Fourth Proportional to 217,385.48, 299,991.69 and 120,604.02

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Solution

The fourth proportional to 217,385.48, 299,991.69 and 120,604.02 is: 166,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,385.48 : 299,991.69 = 120,604.02 : x
  2. Step 2: Convert to fraction form
    217,385.48/299,991.69 = 120,604.02/x
  3. Step 3: Cross multiply
    217,385.48x = 299,991.69 × 120,604.02
  4. Step 4: Simplify right side
    217,385.48x = 36,180,203,780.59
  5. Step 5: Solve for x
    x = 36,180,203,780.59/217,385.48
  6. Step 6: Final answer
    x = 166,433.39

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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.