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Finding the Fourth Proportional to 221,341.72, 305,450.94 and 120,739

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Solution

The fourth proportional to 221,341.72, 305,450.94 and 120,739 is: 166,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,341.72 : 305,450.94 = 120,739 : x
  2. Step 2: Convert to fraction form
    221,341.72/305,450.94 = 120,739/x
  3. Step 3: Cross multiply
    221,341.72x = 305,450.94 × 120,739
  4. Step 4: Simplify right side
    221,341.72x = 36,879,841,044.66
  5. Step 5: Solve for x
    x = 36,879,841,044.66/221,341.72
  6. Step 6: Final answer
    x = 166,619.47

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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.