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Finding the Fourth Proportional to 207,955.81, 311,933.72 and 50,184.28

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Solution

The fourth proportional to 207,955.81, 311,933.72 and 50,184.28 is: 75,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,955.81 : 311,933.72 = 50,184.28 : x
  2. Step 2: Convert to fraction form
    207,955.81/311,933.72 = 50,184.28/x
  3. Step 3: Cross multiply
    207,955.81x = 311,933.72 × 50,184.28
  4. Step 4: Simplify right side
    207,955.81x = 15,654,169,145.92
  5. Step 5: Solve for x
    x = 15,654,169,145.92/207,955.81
  6. Step 6: Final answer
    x = 75,276.42

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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.