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Finding the Fourth Proportional to 221,224.13, 305,289.90 and 120,622.13

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Solution

The fourth proportional to 221,224.13, 305,289.90 and 120,622.13 is: 166,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,224.13 : 305,289.90 = 120,622.13 : x
  2. Step 2: Convert to fraction form
    221,224.13/305,289.90 = 120,622.13/x
  3. Step 3: Cross multiply
    221,224.13x = 305,289.90 × 120,622.13
  4. Step 4: Simplify right side
    221,224.13x = 36,824,718,005.49
  5. Step 5: Solve for x
    x = 36,824,718,005.49/221,224.13
  6. Step 6: Final answer
    x = 166,458.87

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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.