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Finding the Fourth Proportional to 203,282.32, 304,964.37 and 70,167.73

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Solution

The fourth proportional to 203,282.32, 304,964.37 and 70,167.73 is: 105,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,282.32 : 304,964.37 = 70,167.73 : x
  2. Step 2: Convert to fraction form
    203,282.32/304,964.37 = 70,167.73/x
  3. Step 3: Cross multiply
    203,282.32x = 304,964.37 × 70,167.73
  4. Step 4: Simplify right side
    203,282.32x = 21,398,657,573.78
  5. Step 5: Solve for x
    x = 21,398,657,573.78/203,282.32
  6. Step 6: Final answer
    x = 105,265.71

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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.