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Finding the Fourth Proportional to 188,614.89, 260,224.78 and 106,934.38

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Solution

The fourth proportional to 188,614.89, 260,224.78 and 106,934.38 is: 147,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,614.89 : 260,224.78 = 106,934.38 : x
  2. Step 2: Convert to fraction form
    188,614.89/260,224.78 = 106,934.38/x
  3. Step 3: Cross multiply
    188,614.89x = 260,224.78 × 106,934.38
  4. Step 4: Simplify right side
    188,614.89x = 27,826,975,509.94
  5. Step 5: Solve for x
    x = 27,826,975,509.94/188,614.89
  6. Step 6: Final answer
    x = 147,533.29

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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.