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Finding the Fourth Proportional to 200,311.79, 300,467.07 and 50,564.05

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Solution

The fourth proportional to 200,311.79, 300,467.07 and 50,564.05 is: 75,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,311.79 : 300,467.07 = 50,564.05 : x
  2. Step 2: Convert to fraction form
    200,311.79/300,467.07 = 50,564.05/x
  3. Step 3: Cross multiply
    200,311.79x = 300,467.07 × 50,564.05
  4. Step 4: Simplify right side
    200,311.79x = 15,192,831,199.67
  5. Step 5: Solve for x
    x = 15,192,831,199.67/200,311.79
  6. Step 6: Final answer
    x = 75,845.92

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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.