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Finding the Fourth Proportional to 207,198.46, 310,797.69 and 137,061.37

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Solution

The fourth proportional to 207,198.46, 310,797.69 and 137,061.37 is: 205,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,198.46 : 310,797.69 = 137,061.37 : x
  2. Step 2: Convert to fraction form
    207,198.46/310,797.69 = 137,061.37/x
  3. Step 3: Cross multiply
    207,198.46x = 310,797.69 × 137,061.37
  4. Step 4: Simplify right side
    207,198.46x = 42,598,356,407.24
  5. Step 5: Solve for x
    x = 42,598,356,407.24/207,198.46
  6. Step 6: Final answer
    x = 205,592.05

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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.