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Finding the Fourth Proportional to 212,548.22, 318,472.41 and 148,512.86

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Solution

The fourth proportional to 212,548.22, 318,472.41 and 148,512.86 is: 222,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,548.22 : 318,472.41 = 148,512.86 : x
  2. Step 2: Convert to fraction form
    212,548.22/318,472.41 = 148,512.86/x
  3. Step 3: Cross multiply
    212,548.22x = 318,472.41 × 148,512.86
  4. Step 4: Simplify right side
    212,548.22x = 47,297,248,679.45
  5. Step 5: Solve for x
    x = 47,297,248,679.45/212,548.22
  6. Step 6: Final answer
    x = 222,524.79

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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.