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Finding the Fourth Proportional to 304,158.92, 419,742.05 and 168,202.09

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Solution

The fourth proportional to 304,158.92, 419,742.05 and 168,202.09 is: 232,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,158.92 : 419,742.05 = 168,202.09 : x
  2. Step 2: Convert to fraction form
    304,158.92/419,742.05 = 168,202.09/x
  3. Step 3: Cross multiply
    304,158.92x = 419,742.05 × 168,202.09
  4. Step 4: Simplify right side
    304,158.92x = 70,601,490,070.88
  5. Step 5: Solve for x
    x = 70,601,490,070.88/304,158.92
  6. Step 6: Final answer
    x = 232,120.40

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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.