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Finding the Fourth Proportional to 221,740.66, 305,911.44 and 163,736.38

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Solution

The fourth proportional to 221,740.66, 305,911.44 and 163,736.38 is: 225,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,740.66 : 305,911.44 = 163,736.38 : x
  2. Step 2: Convert to fraction form
    221,740.66/305,911.44 = 163,736.38/x
  3. Step 3: Cross multiply
    221,740.66x = 305,911.44 × 163,736.38
  4. Step 4: Simplify right side
    221,740.66x = 50,088,831,786.19
  5. Step 5: Solve for x
    x = 50,088,831,786.19/221,740.66
  6. Step 6: Final answer
    x = 225,889.25

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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.