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Finding the Fourth Proportional to 200,464.57, 300,654.53 and 119,447.51

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Solution

The fourth proportional to 200,464.57, 300,654.53 and 119,447.51 is: 179,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,464.57 : 300,654.53 = 119,447.51 : x
  2. Step 2: Convert to fraction form
    200,464.57/300,654.53 = 119,447.51/x
  3. Step 3: Cross multiply
    200,464.57x = 300,654.53 × 119,447.51
  4. Step 4: Simplify right side
    200,464.57x = 35,912,435,689.21
  5. Step 5: Solve for x
    x = 35,912,435,689.21/200,464.57
  6. Step 6: Final answer
    x = 179,146.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.