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Finding the Fourth Proportional to 210,305.68, 290,238.40 and 119,665.46

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Solution

The fourth proportional to 210,305.68, 290,238.40 and 119,665.46 is: 165,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,305.68 : 290,238.40 = 119,665.46 : x
  2. Step 2: Convert to fraction form
    210,305.68/290,238.40 = 119,665.46/x
  3. Step 3: Cross multiply
    210,305.68x = 290,238.40 × 119,665.46
  4. Step 4: Simplify right side
    210,305.68x = 34,731,511,645.66
  5. Step 5: Solve for x
    x = 34,731,511,645.66/210,305.68
  6. Step 6: Final answer
    x = 165,147.76

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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.