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Finding the Fourth Proportional to 315,198.81, 472,633.92 and 112,716.83

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Solution

The fourth proportional to 315,198.81, 472,633.92 and 112,716.83 is: 169,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,198.81 : 472,633.92 = 112,716.83 : x
  2. Step 2: Convert to fraction form
    315,198.81/472,633.92 = 112,716.83/x
  3. Step 3: Cross multiply
    315,198.81x = 472,633.92 × 112,716.83
  4. Step 4: Simplify right side
    315,198.81x = 53,273,798,394.46
  5. Step 5: Solve for x
    x = 53,273,798,394.46/315,198.81
  6. Step 6: Final answer
    x = 169,016.50

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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.