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Finding the Fourth Proportional to 221,471.48, 305,626.38 and 120,870.20

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Solution

The fourth proportional to 221,471.48, 305,626.38 and 120,870.20 is: 166,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,471.48 : 305,626.38 = 120,870.20 : x
  2. Step 2: Convert to fraction form
    221,471.48/305,626.38 = 120,870.20/x
  3. Step 3: Cross multiply
    221,471.48x = 305,626.38 × 120,870.20
  4. Step 4: Simplify right side
    221,471.48x = 36,941,121,675.88
  5. Step 5: Solve for x
    x = 36,941,121,675.88/221,471.48
  6. Step 6: Final answer
    x = 166,798.55

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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.