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Finding the Fourth Proportional to 308,198.16, 462,299.16 and 94,963.44

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Solution

The fourth proportional to 308,198.16, 462,299.16 and 94,963.44 is: 142,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,198.16 : 462,299.16 = 94,963.44 : x
  2. Step 2: Convert to fraction form
    308,198.16/462,299.16 = 94,963.44/x
  3. Step 3: Cross multiply
    308,198.16x = 462,299.16 × 94,963.44
  4. Step 4: Simplify right side
    308,198.16x = 43,901,518,542.71
  5. Step 5: Solve for x
    x = 43,901,518,542.71/308,198.16
  6. Step 6: Final answer
    x = 142,445.75

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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.