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Finding the Fourth Proportional to 308,005, 462,191.82 and 132,901

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Solution

The fourth proportional to 308,005, 462,191.82 and 132,901 is: 199,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,005 : 462,191.82 = 132,901 : x
  2. Step 2: Convert to fraction form
    308,005/462,191.82 = 132,901/x
  3. Step 3: Cross multiply
    308,005x = 462,191.82 × 132,901
  4. Step 4: Simplify right side
    308,005x = 61,425,755,069.82
  5. Step 5: Solve for x
    x = 61,425,755,069.82/308,005
  6. Step 6: Final answer
    x = 199,431.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.