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Finding the Fourth Proportional to 193,873.45, 290,823.99 and 51,717.91

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Solution

The fourth proportional to 193,873.45, 290,823.99 and 51,717.91 is: 77,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,873.45 : 290,823.99 = 51,717.91 : x
  2. Step 2: Convert to fraction form
    193,873.45/290,823.99 = 51,717.91/x
  3. Step 3: Cross multiply
    193,873.45x = 290,823.99 × 51,717.91
  4. Step 4: Simplify right side
    193,873.45x = 15,040,808,940.66
  5. Step 5: Solve for x
    x = 15,040,808,940.66/193,873.45
  6. Step 6: Final answer
    x = 77,580.55

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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.