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Finding the Fourth Proportional to 203,966.84, 306,004.26 and 70,846.76

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Solution

The fourth proportional to 203,966.84, 306,004.26 and 70,846.76 is: 106,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,966.84 : 306,004.26 = 70,846.76 : x
  2. Step 2: Convert to fraction form
    203,966.84/306,004.26 = 70,846.76/x
  3. Step 3: Cross multiply
    203,966.84x = 306,004.26 × 70,846.76
  4. Step 4: Simplify right side
    203,966.84x = 21,679,410,367.20
  5. Step 5: Solve for x
    x = 21,679,410,367.20/203,966.84
  6. Step 6: Final answer
    x = 106,288.90

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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.