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Finding the Fourth Proportional to 204,065.88, 306,102.33 and 70,950.48

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Solution

The fourth proportional to 204,065.88, 306,102.33 and 70,950.48 is: 106,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,065.88 : 306,102.33 = 70,950.48 : x
  2. Step 2: Convert to fraction form
    204,065.88/306,102.33 = 70,950.48/x
  3. Step 3: Cross multiply
    204,065.88x = 306,102.33 × 70,950.48
  4. Step 4: Simplify right side
    204,065.88x = 21,718,107,242.62
  5. Step 5: Solve for x
    x = 21,718,107,242.62/204,065.88
  6. Step 6: Final answer
    x = 106,426.94

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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.