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Finding the Fourth Proportional to 308,009.25, 462,198.20 and 132,905.25

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Solution

The fourth proportional to 308,009.25, 462,198.20 and 132,905.25 is: 199,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,009.25 : 462,198.20 = 132,905.25 : x
  2. Step 2: Convert to fraction form
    308,009.25/462,198.20 = 132,905.25/x
  3. Step 3: Cross multiply
    308,009.25x = 462,198.20 × 132,905.25
  4. Step 4: Simplify right side
    308,009.25x = 61,428,566,656.02
  5. Step 5: Solve for x
    x = 61,428,566,656.02/308,009.25
  6. Step 6: Final answer
    x = 199,437.41

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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.