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Finding the Fourth Proportional to 204,246.36, 306,262.62 and 120,032.28

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Solution

The fourth proportional to 204,246.36, 306,262.62 and 120,032.28 is: 179,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,246.36 : 306,262.62 = 120,032.28 : x
  2. Step 2: Convert to fraction form
    204,246.36/306,262.62 = 120,032.28/x
  3. Step 3: Cross multiply
    204,246.36x = 306,262.62 × 120,032.28
  4. Step 4: Simplify right side
    204,246.36x = 36,761,400,557.37
  5. Step 5: Solve for x
    x = 36,761,400,557.37/204,246.36
  6. Step 6: Final answer
    x = 179,985.58

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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.