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Finding the Fourth Proportional to 206,164.02, 308,981.77 and 179,398.79

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Solution

The fourth proportional to 206,164.02, 308,981.77 and 179,398.79 is: 268,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,164.02 : 308,981.77 = 179,398.79 : x
  2. Step 2: Convert to fraction form
    206,164.02/308,981.77 = 179,398.79/x
  3. Step 3: Cross multiply
    206,164.02x = 308,981.77 × 179,398.79
  4. Step 4: Simplify right side
    206,164.02x = 55,430,955,670.06
  5. Step 5: Solve for x
    x = 55,430,955,670.06/206,164.02
  6. Step 6: Final answer
    x = 268,868.23

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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.