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Finding the Fourth Proportional to 207,954.60, 311,931.93 and 50,183.06

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Solution

The fourth proportional to 207,954.60, 311,931.93 and 50,183.06 is: 75,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,954.60 : 311,931.93 = 50,183.06 : x
  2. Step 2: Convert to fraction form
    207,954.60/311,931.93 = 50,183.06/x
  3. Step 3: Cross multiply
    207,954.60x = 311,931.93 × 50,183.06
  4. Step 4: Simplify right side
    207,954.60x = 15,653,697,199.45
  5. Step 5: Solve for x
    x = 15,653,697,199.45/207,954.60
  6. Step 6: Final answer
    x = 75,274.59

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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.