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Finding the Fourth Proportional to 193,660.26, 290,537.10 and 67,282.10

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Solution

The fourth proportional to 193,660.26, 290,537.10 and 67,282.10 is: 100,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,660.26 : 290,537.10 = 67,282.10 : x
  2. Step 2: Convert to fraction form
    193,660.26/290,537.10 = 67,282.10/x
  3. Step 3: Cross multiply
    193,660.26x = 290,537.10 × 67,282.10
  4. Step 4: Simplify right side
    193,660.26x = 19,547,946,215.91
  5. Step 5: Solve for x
    x = 19,547,946,215.91/193,660.26
  6. Step 6: Final answer
    x = 100,939.38

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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.