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Finding the Fourth Proportional to 206,058.49, 309,176.63 and 111,269.79

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Solution

The fourth proportional to 206,058.49, 309,176.63 and 111,269.79 is: 166,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,058.49 : 309,176.63 = 111,269.79 : x
  2. Step 2: Convert to fraction form
    206,058.49/309,176.63 = 111,269.79/x
  3. Step 3: Cross multiply
    206,058.49x = 309,176.63 × 111,269.79
  4. Step 4: Simplify right side
    206,058.49x = 34,402,018,553.92
  5. Step 5: Solve for x
    x = 34,402,018,553.92/206,058.49
  6. Step 6: Final answer
    x = 166,952.69

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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.