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Finding the Fourth Proportional to 299,083.05, 412,733.34 and 163,114.56

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Solution

The fourth proportional to 299,083.05, 412,733.34 and 163,114.56 is: 225,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,083.05 : 412,733.34 = 163,114.56 : x
  2. Step 2: Convert to fraction form
    299,083.05/412,733.34 = 163,114.56/x
  3. Step 3: Cross multiply
    299,083.05x = 412,733.34 × 163,114.56
  4. Step 4: Simplify right side
    299,083.05x = 67,322,817,151.43
  5. Step 5: Solve for x
    x = 67,322,817,151.43/299,083.05
  6. Step 6: Final answer
    x = 225,097.40

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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.