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Finding the Fourth Proportional to 299,142.24, 412,887.18 and 171,891.66

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Solution

The fourth proportional to 299,142.24, 412,887.18 and 171,891.66 is: 237,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,142.24 : 412,887.18 = 171,891.66 : x
  2. Step 2: Convert to fraction form
    299,142.24/412,887.18 = 171,891.66/x
  3. Step 3: Cross multiply
    299,142.24x = 412,887.18 × 171,891.66
  4. Step 4: Simplify right side
    299,142.24x = 70,971,862,762.92
  5. Step 5: Solve for x
    x = 70,971,862,762.92/299,142.24
  6. Step 6: Final answer
    x = 237,251.22

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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.