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Finding the Fourth Proportional to 233,351.16, 322,003.82 and 129,977.44

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Solution

The fourth proportional to 233,351.16, 322,003.82 and 129,977.44 is: 179,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,351.16 : 322,003.82 = 129,977.44 : x
  2. Step 2: Convert to fraction form
    233,351.16/322,003.82 = 129,977.44/x
  3. Step 3: Cross multiply
    233,351.16x = 322,003.82 × 129,977.44
  4. Step 4: Simplify right side
    233,351.16x = 41,853,232,193.82
  5. Step 5: Solve for x
    x = 41,853,232,193.82/233,351.16
  6. Step 6: Final answer
    x = 179,357.29

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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.