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Finding the Fourth Proportional to 299,727.29, 413,618.84 and 163,758.32

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Solution

The fourth proportional to 299,727.29, 413,618.84 and 163,758.32 is: 225,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727.29 : 413,618.84 = 163,758.32 : x
  2. Step 2: Convert to fraction form
    299,727.29/413,618.84 = 163,758.32/x
  3. Step 3: Cross multiply
    299,727.29x = 413,618.84 × 163,758.32
  4. Step 4: Simplify right side
    299,727.29x = 67,733,527,495.14
  5. Step 5: Solve for x
    x = 67,733,527,495.14/299,727.29
  6. Step 6: Final answer
    x = 225,983.85

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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.