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Finding the Fourth Proportional to 198,956.64, 274,473.84 and 114,054.24

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Solution

The fourth proportional to 198,956.64, 274,473.84 and 114,054.24 is: 157,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,956.64 : 274,473.84 = 114,054.24 : x
  2. Step 2: Convert to fraction form
    198,956.64/274,473.84 = 114,054.24/x
  3. Step 3: Cross multiply
    198,956.64x = 274,473.84 × 114,054.24
  4. Step 4: Simplify right side
    198,956.64x = 31,304,905,221.08
  5. Step 5: Solve for x
    x = 31,304,905,221.08/198,956.64
  6. Step 6: Final answer
    x = 157,345.37

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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.