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Finding the Fourth Proportional to 204,612.56, 305,732.74 and 160,133.84

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Solution

The fourth proportional to 204,612.56, 305,732.74 and 160,133.84 is: 239,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,612.56 : 305,732.74 = 160,133.84 : x
  2. Step 2: Convert to fraction form
    204,612.56/305,732.74 = 160,133.84/x
  3. Step 3: Cross multiply
    204,612.56x = 305,732.74 × 160,133.84
  4. Step 4: Simplify right side
    204,612.56x = 48,958,157,669.92
  5. Step 5: Solve for x
    x = 48,958,157,669.92/204,612.56
  6. Step 6: Final answer
    x = 239,272.49

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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.