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Finding the Fourth Proportional to 159,538.80, 239,664.60 and 133,294.80

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Solution

The fourth proportional to 159,538.80, 239,664.60 and 133,294.80 is: 200,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,538.80 : 239,664.60 = 133,294.80 : x
  2. Step 2: Convert to fraction form
    159,538.80/239,664.60 = 133,294.80/x
  3. Step 3: Cross multiply
    159,538.80x = 239,664.60 × 133,294.80
  4. Step 4: Simplify right side
    159,538.80x = 31,946,044,924.08
  5. Step 5: Solve for x
    x = 31,946,044,924.08/159,538.80
  6. Step 6: Final answer
    x = 200,239.97

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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.