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Finding the Fourth Proportional to 202,107.24, 278,905.12 and 117,238.68

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Solution

The fourth proportional to 202,107.24, 278,905.12 and 117,238.68 is: 161,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,107.24 : 278,905.12 = 117,238.68 : x
  2. Step 2: Convert to fraction form
    202,107.24/278,905.12 = 117,238.68/x
  3. Step 3: Cross multiply
    202,107.24x = 278,905.12 × 117,238.68
  4. Step 4: Simplify right side
    202,107.24x = 32,698,468,114.04
  5. Step 5: Solve for x
    x = 32,698,468,114.04/202,107.24
  6. Step 6: Final answer
    x = 161,787.71

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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.