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Finding the Fourth Proportional to 269,853, 404,798.94 and 103,641

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Solution

The fourth proportional to 269,853, 404,798.94 and 103,641 is: 155,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,853 : 404,798.94 = 103,641 : x
  2. Step 2: Convert to fraction form
    269,853/404,798.94 = 103,641/x
  3. Step 3: Cross multiply
    269,853x = 404,798.94 × 103,641
  4. Step 4: Simplify right side
    269,853x = 41,953,766,940.54
  5. Step 5: Solve for x
    x = 41,953,766,940.54/269,853
  6. Step 6: Final answer
    x = 155,468.97

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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.