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Finding the Fourth Proportional to 203,155.14, 280,400.75 and 135,174.97

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Solution

The fourth proportional to 203,155.14, 280,400.75 and 135,174.97 is: 186,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,155.14 : 280,400.75 = 135,174.97 : x
  2. Step 2: Convert to fraction form
    203,155.14/280,400.75 = 135,174.97/x
  3. Step 3: Cross multiply
    203,155.14x = 280,400.75 × 135,174.97
  4. Step 4: Simplify right side
    203,155.14x = 37,903,162,969.23
  5. Step 5: Solve for x
    x = 37,903,162,969.23/203,155.14
  6. Step 6: Final answer
    x = 186,572.50

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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.