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Finding the Fourth Proportional to 193,658.52, 290,534.49 and 67,280.43

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Solution

The fourth proportional to 193,658.52, 290,534.49 and 67,280.43 is: 100,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,658.52 : 290,534.49 = 67,280.43 : x
  2. Step 2: Convert to fraction form
    193,658.52/290,534.49 = 67,280.43/x
  3. Step 3: Cross multiply
    193,658.52x = 290,534.49 × 67,280.43
  4. Step 4: Simplify right side
    193,658.52x = 19,547,285,417.03
  5. Step 5: Solve for x
    x = 19,547,285,417.03/193,658.52
  6. Step 6: Final answer
    x = 100,936.87

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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.