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Finding the Fourth Proportional to 210,202.60, 290,067.96 and 119,546.32

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Solution

The fourth proportional to 210,202.60, 290,067.96 and 119,546.32 is: 164,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,202.60 : 290,067.96 = 119,546.32 : x
  2. Step 2: Convert to fraction form
    210,202.60/290,067.96 = 119,546.32/x
  3. Step 3: Cross multiply
    210,202.60x = 290,067.96 × 119,546.32
  4. Step 4: Simplify right side
    210,202.60x = 34,676,557,167.91
  5. Step 5: Solve for x
    x = 34,676,557,167.91/210,202.60
  6. Step 6: Final answer
    x = 164,967.31

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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.