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Finding the Fourth Proportional to 200,546.24, 276,753.56 and 109,907.90

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Solution

The fourth proportional to 200,546.24, 276,753.56 and 109,907.90 is: 151,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,546.24 : 276,753.56 = 109,907.90 : x
  2. Step 2: Convert to fraction form
    200,546.24/276,753.56 = 109,907.90/x
  3. Step 3: Cross multiply
    200,546.24x = 276,753.56 × 109,907.90
  4. Step 4: Simplify right side
    200,546.24x = 30,417,402,597.12
  5. Step 5: Solve for x
    x = 30,417,402,597.12/200,546.24
  6. Step 6: Final answer
    x = 151,672.76

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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.