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Finding the Fourth Proportional to 213,029.52, 293,997.24 and 117,544.56

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Solution

The fourth proportional to 213,029.52, 293,997.24 and 117,544.56 is: 162,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,029.52 : 293,997.24 = 117,544.56 : x
  2. Step 2: Convert to fraction form
    213,029.52/293,997.24 = 117,544.56/x
  3. Step 3: Cross multiply
    213,029.52x = 293,997.24 × 117,544.56
  4. Step 4: Simplify right side
    213,029.52x = 34,557,776,217.01
  5. Step 5: Solve for x
    x = 34,557,776,217.01/213,029.52
  6. Step 6: Final answer
    x = 162,220.60

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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.