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Finding the Fourth Proportional to 159,299.60, 238,982.07 and 133,186.82

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Solution

The fourth proportional to 159,299.60, 238,982.07 and 133,186.82 is: 199,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,299.60 : 238,982.07 = 133,186.82 : x
  2. Step 2: Convert to fraction form
    159,299.60/238,982.07 = 133,186.82/x
  3. Step 3: Cross multiply
    159,299.60x = 238,982.07 × 133,186.82
  4. Step 4: Simplify right side
    159,299.60x = 31,829,261,940.32
  5. Step 5: Solve for x
    x = 31,829,261,940.32/159,299.60
  6. Step 6: Final answer
    x = 199,807.54

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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.