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Finding the Fourth Proportional to 210,198.60, 290,062.44 and 119,542.32

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Solution

The fourth proportional to 210,198.60, 290,062.44 and 119,542.32 is: 164,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,198.60 : 290,062.44 = 119,542.32 : x
  2. Step 2: Convert to fraction form
    210,198.60/290,062.44 = 119,542.32/x
  3. Step 3: Cross multiply
    210,198.60x = 290,062.44 × 119,542.32
  4. Step 4: Simplify right side
    210,198.60x = 34,674,737,022.46
  5. Step 5: Solve for x
    x = 34,674,737,022.46/210,198.60
  6. Step 6: Final answer
    x = 164,961.79

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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.