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Finding the Fourth Proportional to 204,026.30, 306,039.45 and 110,714.30

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Solution

The fourth proportional to 204,026.30, 306,039.45 and 110,714.30 is: 166,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,026.30 : 306,039.45 = 110,714.30 : x
  2. Step 2: Convert to fraction form
    204,026.30/306,039.45 = 110,714.30/x
  3. Step 3: Cross multiply
    204,026.30x = 306,039.45 × 110,714.30
  4. Step 4: Simplify right side
    204,026.30x = 33,882,943,479.14
  5. Step 5: Solve for x
    x = 33,882,943,479.14/204,026.30
  6. Step 6: Final answer
    x = 166,071.45

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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.