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Finding the Fourth Proportional to 201,695.72, 278,308.62 and 116,796.38

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Solution

The fourth proportional to 201,695.72, 278,308.62 and 116,796.38 is: 161,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,695.72 : 278,308.62 = 116,796.38 : x
  2. Step 2: Convert to fraction form
    201,695.72/278,308.62 = 116,796.38/x
  3. Step 3: Cross multiply
    201,695.72x = 278,308.62 × 116,796.38
  4. Step 4: Simplify right side
    201,695.72x = 32,505,437,947.25
  5. Step 5: Solve for x
    x = 32,505,437,947.25/201,695.72
  6. Step 6: Final answer
    x = 161,160.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.