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Finding the Fourth Proportional to 204,133.71, 306,233.43 and 71,051.79

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Solution

The fourth proportional to 204,133.71, 306,233.43 and 71,051.79 is: 106,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,133.71 : 306,233.43 = 71,051.79 : x
  2. Step 2: Convert to fraction form
    204,133.71/306,233.43 = 71,051.79/x
  3. Step 3: Cross multiply
    204,133.71x = 306,233.43 × 71,051.79
  4. Step 4: Simplify right side
    204,133.71x = 21,758,433,359.34
  5. Step 5: Solve for x
    x = 21,758,433,359.34/204,133.71
  6. Step 6: Final answer
    x = 106,589.12

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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.