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Finding the Fourth Proportional to 200,103.74, 276,132.84 and 109,442.06

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Solution

The fourth proportional to 200,103.74, 276,132.84 and 109,442.06 is: 151,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,103.74 : 276,132.84 = 109,442.06 : x
  2. Step 2: Convert to fraction form
    200,103.74/276,132.84 = 109,442.06/x
  3. Step 3: Cross multiply
    200,103.74x = 276,132.84 × 109,442.06
  4. Step 4: Simplify right side
    200,103.74x = 30,220,546,843.25
  5. Step 5: Solve for x
    x = 30,220,546,843.25/200,103.74
  6. Step 6: Final answer
    x = 151,024.40

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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.