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Finding the Fourth Proportional to 156,222, 234,372.96 and 45,414

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Solution

The fourth proportional to 156,222, 234,372.96 and 45,414 is: 68,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,222 : 234,372.96 = 45,414 : x
  2. Step 2: Convert to fraction form
    156,222/234,372.96 = 45,414/x
  3. Step 3: Cross multiply
    156,222x = 234,372.96 × 45,414
  4. Step 4: Simplify right side
    156,222x = 10,643,813,605.44
  5. Step 5: Solve for x
    x = 10,643,813,605.44/156,222
  6. Step 6: Final answer
    x = 68,132.62

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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.