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Finding the Fourth Proportional to 299,244.50, 412,966.05 and 165,117.14

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Solution

The fourth proportional to 299,244.50, 412,966.05 and 165,117.14 is: 227,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,244.50 : 412,966.05 = 165,117.14 : x
  2. Step 2: Convert to fraction form
    299,244.50/412,966.05 = 165,117.14/x
  3. Step 3: Cross multiply
    299,244.50x = 412,966.05 × 165,117.14
  4. Step 4: Simplify right side
    299,244.50x = 68,187,773,093.10
  5. Step 5: Solve for x
    x = 68,187,773,093.10/299,244.50
  6. Step 6: Final answer
    x = 227,866.42

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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.