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Finding the Fourth Proportional to 169,143.64, 252,473.94 and 149,213.32

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Solution

The fourth proportional to 169,143.64, 252,473.94 and 149,213.32 is: 222,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,143.64 : 252,473.94 = 149,213.32 : x
  2. Step 2: Convert to fraction form
    169,143.64/252,473.94 = 149,213.32/x
  3. Step 3: Cross multiply
    169,143.64x = 252,473.94 × 149,213.32
  4. Step 4: Simplify right side
    169,143.64x = 37,672,474,800.88
  5. Step 5: Solve for x
    x = 37,672,474,800.88/169,143.64
  6. Step 6: Final answer
    x = 222,724.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.