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Finding the Fourth Proportional to 138,178, 206,189.32 and 123,284.52

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Solution

The fourth proportional to 138,178, 206,189.32 and 123,284.52 is: 183,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,178 : 206,189.32 = 123,284.52 : x
  2. Step 2: Convert to fraction form
    138,178/206,189.32 = 123,284.52/x
  3. Step 3: Cross multiply
    138,178x = 206,189.32 × 123,284.52
  4. Step 4: Simplify right side
    138,178x = 25,419,951,345.33
  5. Step 5: Solve for x
    x = 25,419,951,345.33/138,178
  6. Step 6: Final answer
    x = 183,965.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.