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Finding the Fourth Proportional to 308,121.12, 462,453.92 and 150,488.64

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Solution

The fourth proportional to 308,121.12, 462,453.92 and 150,488.64 is: 225,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,121.12 : 462,453.92 = 150,488.64 : x
  2. Step 2: Convert to fraction form
    308,121.12/462,453.92 = 150,488.64/x
  3. Step 3: Cross multiply
    308,121.12x = 462,453.92 × 150,488.64
  4. Step 4: Simplify right side
    308,121.12x = 69,594,061,483.47
  5. Step 5: Solve for x
    x = 69,594,061,483.47/308,121.12
  6. Step 6: Final answer
    x = 225,865.92

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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.