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Finding the Fourth Proportional to 308,282.97, 462,109.14 and 156,198.32

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Solution

The fourth proportional to 308,282.97, 462,109.14 and 156,198.32 is: 234,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,282.97 : 462,109.14 = 156,198.32 : x
  2. Step 2: Convert to fraction form
    308,282.97/462,109.14 = 156,198.32/x
  3. Step 3: Cross multiply
    308,282.97x = 462,109.14 × 156,198.32
  4. Step 4: Simplify right side
    308,282.97x = 72,180,669,014.10
  5. Step 5: Solve for x
    x = 72,180,669,014.10/308,282.97
  6. Step 6: Final answer
    x = 234,137.71

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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.