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Finding the Fourth Proportional to 299,137.12, 412,788 and 168,333.88

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Solution

The fourth proportional to 299,137.12, 412,788 and 168,333.88 is: 232,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,137.12 : 412,788 = 168,333.88 : x
  2. Step 2: Convert to fraction form
    299,137.12/412,788 = 168,333.88/x
  3. Step 3: Cross multiply
    299,137.12x = 412,788 × 168,333.88
  4. Step 4: Simplify right side
    299,137.12x = 69,486,205,657.44
  5. Step 5: Solve for x
    x = 69,486,205,657.44/299,137.12
  6. Step 6: Final answer
    x = 232,288.81

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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.