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Finding the Fourth Proportional to 224,651.62, 309,492.36 and 156,545

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Solution

The fourth proportional to 224,651.62, 309,492.36 and 156,545 is: 215,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,651.62 : 309,492.36 = 156,545 : x
  2. Step 2: Convert to fraction form
    224,651.62/309,492.36 = 156,545/x
  3. Step 3: Cross multiply
    224,651.62x = 309,492.36 × 156,545
  4. Step 4: Simplify right side
    224,651.62x = 48,449,481,496.20
  5. Step 5: Solve for x
    x = 48,449,481,496.20/224,651.62
  6. Step 6: Final answer
    x = 215,664.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.