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Finding the Fourth Proportional to 150,298, 225,481.56 and 51,802

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Solution

The fourth proportional to 150,298, 225,481.56 and 51,802 is: 77,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,298 : 225,481.56 = 51,802 : x
  2. Step 2: Convert to fraction form
    150,298/225,481.56 = 51,802/x
  3. Step 3: Cross multiply
    150,298x = 225,481.56 × 51,802
  4. Step 4: Simplify right side
    150,298x = 11,680,395,771.12
  5. Step 5: Solve for x
    x = 11,680,395,771.12/150,298
  6. Step 6: Final answer
    x = 77,714.91

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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.