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Finding the Fourth Proportional to 232,049.16, 320,221.62 and 136,561.48

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Solution

The fourth proportional to 232,049.16, 320,221.62 and 136,561.48 is: 188,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,049.16 : 320,221.62 = 136,561.48 : x
  2. Step 2: Convert to fraction form
    232,049.16/320,221.62 = 136,561.48/x
  3. Step 3: Cross multiply
    232,049.16x = 320,221.62 × 136,561.48
  4. Step 4: Simplify right side
    232,049.16x = 43,729,938,355.20
  5. Step 5: Solve for x
    x = 43,729,938,355.20/232,049.16
  6. Step 6: Final answer
    x = 188,451.18

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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.