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Finding the Fourth Proportional to 217,023.92, 299,478.49 and 120,221.22

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Solution

The fourth proportional to 217,023.92, 299,478.49 and 120,221.22 is: 165,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,023.92 : 299,478.49 = 120,221.22 : x
  2. Step 2: Convert to fraction form
    217,023.92/299,478.49 = 120,221.22/x
  3. Step 3: Cross multiply
    217,023.92x = 299,478.49 × 120,221.22
  4. Step 4: Simplify right side
    217,023.92x = 36,003,669,431.56
  5. Step 5: Solve for x
    x = 36,003,669,431.56/217,023.92
  6. Step 6: Final answer
    x = 165,897.24

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1.5x scale

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.