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Finding the Fourth Proportional to 203,284.56, 304,947.54 and 70,164.48

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Solution

The fourth proportional to 203,284.56, 304,947.54 and 70,164.48 is: 105,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,284.56 : 304,947.54 = 70,164.48 : x
  2. Step 2: Convert to fraction form
    203,284.56/304,947.54 = 70,164.48/x
  3. Step 3: Cross multiply
    203,284.56x = 304,947.54 × 70,164.48
  4. Step 4: Simplify right side
    203,284.56x = 21,396,485,571.38
  5. Step 5: Solve for x
    x = 21,396,485,571.38/203,284.56
  6. Step 6: Final answer
    x = 105,253.86

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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.