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Finding the Fourth Proportional to 200,477.67, 276,659.28 and 109,836.96

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Solution

The fourth proportional to 200,477.67, 276,659.28 and 109,836.96 is: 151,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,477.67 : 276,659.28 = 109,836.96 : x
  2. Step 2: Convert to fraction form
    200,477.67/276,659.28 = 109,836.96/x
  3. Step 3: Cross multiply
    200,477.67x = 276,659.28 × 109,836.96
  4. Step 4: Simplify right side
    200,477.67x = 30,387,414,270.99
  5. Step 5: Solve for x
    x = 30,387,414,270.99/200,477.67
  6. Step 6: Final answer
    x = 151,575.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.