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Finding the Fourth Proportional to 331,001.78, 456,769.01 and 187,758.75

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Solution

The fourth proportional to 331,001.78, 456,769.01 and 187,758.75 is: 259,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,001.78 : 456,769.01 = 187,758.75 : x
  2. Step 2: Convert to fraction form
    331,001.78/456,769.01 = 187,758.75/x
  3. Step 3: Cross multiply
    331,001.78x = 456,769.01 × 187,758.75
  4. Step 4: Simplify right side
    331,001.78x = 85,762,378,725.88
  5. Step 5: Solve for x
    x = 85,762,378,725.88/331,001.78
  6. Step 6: Final answer
    x = 259,099.45

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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.