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Finding the Fourth Proportional to 156,522.87, 234,630 and 100,202.76

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Solution

The fourth proportional to 156,522.87, 234,630 and 100,202.76 is: 150,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,522.87 : 234,630 = 100,202.76 : x
  2. Step 2: Convert to fraction form
    156,522.87/234,630 = 100,202.76/x
  3. Step 3: Cross multiply
    156,522.87x = 234,630 × 100,202.76
  4. Step 4: Simplify right side
    156,522.87x = 23,510,573,578.80
  5. Step 5: Solve for x
    x = 23,510,573,578.80/156,522.87
  6. Step 6: Final answer
    x = 150,205.36

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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.