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Finding the Fourth Proportional to 221,043.76, 305,040.42 and 120,441.76

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Solution

The fourth proportional to 221,043.76, 305,040.42 and 120,441.76 is: 166,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,043.76 : 305,040.42 = 120,441.76 : x
  2. Step 2: Convert to fraction form
    221,043.76/305,040.42 = 120,441.76/x
  3. Step 3: Cross multiply
    221,043.76x = 305,040.42 × 120,441.76
  4. Step 4: Simplify right side
    221,043.76x = 36,739,605,055.94
  5. Step 5: Solve for x
    x = 36,739,605,055.94/221,043.76
  6. Step 6: Final answer
    x = 166,209.65

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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.