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Finding the Fourth Proportional to 221,497.40, 305,560.14 and 160,974.20

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Solution

The fourth proportional to 221,497.40, 305,560.14 and 160,974.20 is: 222,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,497.40 : 305,560.14 = 160,974.20 : x
  2. Step 2: Convert to fraction form
    221,497.40/305,560.14 = 160,974.20/x
  3. Step 3: Cross multiply
    221,497.40x = 305,560.14 × 160,974.20
  4. Step 4: Simplify right side
    221,497.40x = 49,187,299,088.39
  5. Step 5: Solve for x
    x = 49,187,299,088.39/221,497.40
  6. Step 6: Final answer
    x = 222,067.16

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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.