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Finding the Fourth Proportional to 204,177, 306,353.28 and 70,984.65

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Solution

The fourth proportional to 204,177, 306,353.28 and 70,984.65 is: 106,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,177 : 306,353.28 = 70,984.65 : x
  2. Step 2: Convert to fraction form
    204,177/306,353.28 = 70,984.65/x
  3. Step 3: Cross multiply
    204,177x = 306,353.28 × 70,984.65
  4. Step 4: Simplify right side
    204,177x = 21,746,380,357.15
  5. Step 5: Solve for x
    x = 21,746,380,357.15/204,177
  6. Step 6: Final answer
    x = 106,507.49

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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.