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Finding the Fourth Proportional to 204,816.32, 307,266.40 and 116,109.44

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Solution

The fourth proportional to 204,816.32, 307,266.40 and 116,109.44 is: 174,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,816.32 : 307,266.40 = 116,109.44 : x
  2. Step 2: Convert to fraction form
    204,816.32/307,266.40 = 116,109.44/x
  3. Step 3: Cross multiply
    204,816.32x = 307,266.40 × 116,109.44
  4. Step 4: Simplify right side
    204,816.32x = 35,676,529,634.82
  5. Step 5: Solve for x
    x = 35,676,529,634.82/204,816.32
  6. Step 6: Final answer
    x = 174,187.92

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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.