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Finding the Fourth Proportional to 193,237.92, 289,823.04 and 51,084.54

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Solution

The fourth proportional to 193,237.92, 289,823.04 and 51,084.54 is: 76,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,237.92 : 289,823.04 = 51,084.54 : x
  2. Step 2: Convert to fraction form
    193,237.92/289,823.04 = 51,084.54/x
  3. Step 3: Cross multiply
    193,237.92x = 289,823.04 × 51,084.54
  4. Step 4: Simplify right side
    193,237.92x = 14,805,476,679.80
  5. Step 5: Solve for x
    x = 14,805,476,679.80/193,237.92
  6. Step 6: Final answer
    x = 76,617.86

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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.