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Finding the Fourth Proportional to 204,507.32, 306,777.39 and 71,384.63

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Solution

The fourth proportional to 204,507.32, 306,777.39 and 71,384.63 is: 107,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,507.32 : 306,777.39 = 71,384.63 : x
  2. Step 2: Convert to fraction form
    204,507.32/306,777.39 = 71,384.63/x
  3. Step 3: Cross multiply
    204,507.32x = 306,777.39 × 71,384.63
  4. Step 4: Simplify right side
    204,507.32x = 21,899,191,244.46
  5. Step 5: Solve for x
    x = 21,899,191,244.46/204,507.32
  6. Step 6: Final answer
    x = 107,082.68

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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.