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Finding the Fourth Proportional to 299,054.30, 412,758.99 and 171,800.06

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Solution

The fourth proportional to 299,054.30, 412,758.99 and 171,800.06 is: 237,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,054.30 : 412,758.99 = 171,800.06 : x
  2. Step 2: Convert to fraction form
    299,054.30/412,758.99 = 171,800.06/x
  3. Step 3: Cross multiply
    299,054.30x = 412,758.99 × 171,800.06
  4. Step 4: Simplify right side
    299,054.30x = 70,912,017,183.74
  5. Step 5: Solve for x
    x = 70,912,017,183.74/299,054.30
  6. Step 6: Final answer
    x = 237,120.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.