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Finding the Fourth Proportional to 203,249.64, 304,764.51 and 161,398.98

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Solution

The fourth proportional to 203,249.64, 304,764.51 and 161,398.98 is: 242,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,249.64 : 304,764.51 = 161,398.98 : x
  2. Step 2: Convert to fraction form
    203,249.64/304,764.51 = 161,398.98/x
  3. Step 3: Cross multiply
    203,249.64x = 304,764.51 × 161,398.98
  4. Step 4: Simplify right side
    203,249.64x = 49,188,681,054.20
  5. Step 5: Solve for x
    x = 49,188,681,054.20/203,249.64
  6. Step 6: Final answer
    x = 242,011.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.