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Finding the Fourth Proportional to 221,583.48, 305,785.08 and 120,981.48

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Solution

The fourth proportional to 221,583.48, 305,785.08 and 120,981.48 is: 166,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,583.48 : 305,785.08 = 120,981.48 : x
  2. Step 2: Convert to fraction form
    221,583.48/305,785.08 = 120,981.48/x
  3. Step 3: Cross multiply
    221,583.48x = 305,785.08 × 120,981.48
  4. Step 4: Simplify right side
    221,583.48x = 36,994,331,540.32
  5. Step 5: Solve for x
    x = 36,994,331,540.32/221,583.48
  6. Step 6: Final answer
    x = 166,954.38

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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.