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Finding the Fourth Proportional to 210,415.96, 290,362.26 and 119,794

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Solution

The fourth proportional to 210,415.96, 290,362.26 and 119,794 is: 165,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,415.96 : 290,362.26 = 119,794 : x
  2. Step 2: Convert to fraction form
    210,415.96/290,362.26 = 119,794/x
  3. Step 3: Cross multiply
    210,415.96x = 290,362.26 × 119,794
  4. Step 4: Simplify right side
    210,415.96x = 34,783,656,574.44
  5. Step 5: Solve for x
    x = 34,783,656,574.44/210,415.96
  6. Step 6: Final answer
    x = 165,309.02

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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.