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Finding the Fourth Proportional to 200,298.27, 276,411.18 and 109,653.50

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Solution

The fourth proportional to 200,298.27, 276,411.18 and 109,653.50 is: 151,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,298.27 : 276,411.18 = 109,653.50 : x
  2. Step 2: Convert to fraction form
    200,298.27/276,411.18 = 109,653.50/x
  3. Step 3: Cross multiply
    200,298.27x = 276,411.18 × 109,653.50
  4. Step 4: Simplify right side
    200,298.27x = 30,309,452,873.55
  5. Step 5: Solve for x
    x = 30,309,452,873.55/200,298.27
  6. Step 6: Final answer
    x = 151,321.59

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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.