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Finding the Fourth Proportional to 224,184.24, 309,396 and 167,497.20

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Solution

The fourth proportional to 224,184.24, 309,396 and 167,497.20 is: 231,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,184.24 : 309,396 = 167,497.20 : x
  2. Step 2: Convert to fraction form
    224,184.24/309,396 = 167,497.20/x
  3. Step 3: Cross multiply
    224,184.24x = 309,396 × 167,497.20
  4. Step 4: Simplify right side
    224,184.24x = 51,822,963,691.20
  5. Step 5: Solve for x
    x = 51,822,963,691.20/224,184.24
  6. Step 6: Final answer
    x = 231,162.39

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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.