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Finding the Fourth Proportional to 365,161.56, 547,742.22 and 137,500.02

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Solution

The fourth proportional to 365,161.56, 547,742.22 and 137,500.02 is: 206,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,161.56 : 547,742.22 = 137,500.02 : x
  2. Step 2: Convert to fraction form
    365,161.56/547,742.22 = 137,500.02/x
  3. Step 3: Cross multiply
    365,161.56x = 547,742.22 × 137,500.02
  4. Step 4: Simplify right side
    365,161.56x = 75,314,566,204.84
  5. Step 5: Solve for x
    x = 75,314,566,204.84/365,161.56
  6. Step 6: Final answer
    x = 206,249.98

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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.