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Finding the Fourth Proportional to 193,706.54, 290,551.76 and 67,375.40

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Solution

The fourth proportional to 193,706.54, 290,551.76 and 67,375.40 is: 101,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,706.54 : 290,551.76 = 67,375.40 : x
  2. Step 2: Convert to fraction form
    193,706.54/290,551.76 = 67,375.40/x
  3. Step 3: Cross multiply
    193,706.54x = 290,551.76 × 67,375.40
  4. Step 4: Simplify right side
    193,706.54x = 19,576,039,513.73
  5. Step 5: Solve for x
    x = 19,576,039,513.73/193,706.54
  6. Step 6: Final answer
    x = 101,060.29

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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.