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Finding the Fourth Proportional to 299,356.32, 413,107.92 and 165,211.68

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Solution

The fourth proportional to 299,356.32, 413,107.92 and 165,211.68 is: 227,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,356.32 : 413,107.92 = 165,211.68 : x
  2. Step 2: Convert to fraction form
    299,356.32/413,107.92 = 165,211.68/x
  3. Step 3: Cross multiply
    299,356.32x = 413,107.92 × 165,211.68
  4. Step 4: Simplify right side
    299,356.32x = 68,250,253,484.51
  5. Step 5: Solve for x
    x = 68,250,253,484.51/299,356.32
  6. Step 6: Final answer
    x = 227,990.02

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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.