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Finding the Fourth Proportional to 308,009, 462,197.82 and 132,905

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Solution

The fourth proportional to 308,009, 462,197.82 and 132,905 is: 199,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,009 : 462,197.82 = 132,905 : x
  2. Step 2: Convert to fraction form
    308,009/462,197.82 = 132,905/x
  3. Step 3: Cross multiply
    308,009x = 462,197.82 × 132,905
  4. Step 4: Simplify right side
    308,009x = 61,428,401,267.10
  5. Step 5: Solve for x
    x = 61,428,401,267.10/308,009
  6. Step 6: Final answer
    x = 199,437.03

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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.