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Finding the Fourth Proportional to 200,422.44, 276,514.31 and 114,319.56

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Solution

The fourth proportional to 200,422.44, 276,514.31 and 114,319.56 is: 157,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,422.44 : 276,514.31 = 114,319.56 : x
  2. Step 2: Convert to fraction form
    200,422.44/276,514.31 = 114,319.56/x
  3. Step 3: Cross multiply
    200,422.44x = 276,514.31 × 114,319.56
  4. Step 4: Simplify right side
    200,422.44x = 31,610,993,681.31
  5. Step 5: Solve for x
    x = 31,610,993,681.31/200,422.44
  6. Step 6: Final answer
    x = 157,721.83

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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.