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Finding the Fourth Proportional to 142,294.44, 213,503.58 and 67,467

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Solution

The fourth proportional to 142,294.44, 213,503.58 and 67,467 is: 101,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,294.44 : 213,503.58 = 67,467 : x
  2. Step 2: Convert to fraction form
    142,294.44/213,503.58 = 67,467/x
  3. Step 3: Cross multiply
    142,294.44x = 213,503.58 × 67,467
  4. Step 4: Simplify right side
    142,294.44x = 14,404,446,031.86
  5. Step 5: Solve for x
    x = 14,404,446,031.86/142,294.44
  6. Step 6: Final answer
    x = 101,229.86

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1.5x scale

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.