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Finding the Fourth Proportional to 299,727.11, 413,618.58 and 163,758.13

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Solution

The fourth proportional to 299,727.11, 413,618.58 and 163,758.13 is: 225,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727.11 : 413,618.58 = 163,758.13 : x
  2. Step 2: Convert to fraction form
    299,727.11/413,618.58 = 163,758.13/x
  3. Step 3: Cross multiply
    299,727.11x = 413,618.58 × 163,758.13
  4. Step 4: Simplify right side
    299,727.11x = 67,733,406,486.61
  5. Step 5: Solve for x
    x = 67,733,406,486.61/299,727.11
  6. Step 6: Final answer
    x = 225,983.59

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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.