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Finding the Fourth Proportional to 188,057.32, 259,523.66 and 103,174.38

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Solution

The fourth proportional to 188,057.32, 259,523.66 and 103,174.38 is: 142,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,057.32 : 259,523.66 = 103,174.38 : x
  2. Step 2: Convert to fraction form
    188,057.32/259,523.66 = 103,174.38/x
  3. Step 3: Cross multiply
    188,057.32x = 259,523.66 × 103,174.38
  4. Step 4: Simplify right side
    188,057.32x = 26,776,193,268.41
  5. Step 5: Solve for x
    x = 26,776,193,268.41/188,057.32
  6. Step 6: Final answer
    x = 142,383.15

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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.