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Finding the Fourth Proportional to 275,456.61, 413,254.40 and 133,369.97

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Solution

The fourth proportional to 275,456.61, 413,254.40 and 133,369.97 is: 200,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,456.61 : 413,254.40 = 133,369.97 : x
  2. Step 2: Convert to fraction form
    275,456.61/413,254.40 = 133,369.97/x
  3. Step 3: Cross multiply
    275,456.61x = 413,254.40 × 133,369.97
  4. Step 4: Simplify right side
    275,456.61x = 55,115,724,197.25
  5. Step 5: Solve for x
    x = 55,115,724,197.25/275,456.61
  6. Step 6: Final answer
    x = 200,088.59

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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.