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Finding the Fourth Proportional to 309,202.05, 463,533.08 and 119,791.65

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Solution

The fourth proportional to 309,202.05, 463,533.08 and 119,791.65 is: 179,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,202.05 : 463,533.08 = 119,791.65 : x
  2. Step 2: Convert to fraction form
    309,202.05/463,533.08 = 119,791.65/x
  3. Step 3: Cross multiply
    309,202.05x = 463,533.08 × 119,791.65
  4. Step 4: Simplify right side
    309,202.05x = 55,527,391,883.82
  5. Step 5: Solve for x
    x = 55,527,391,883.82/309,202.05
  6. Step 6: Final answer
    x = 179,582.87

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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.