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Finding the Fourth Proportional to 200,596.32, 276,827.94 and 109,956.24

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Solution

The fourth proportional to 200,596.32, 276,827.94 and 109,956.24 is: 151,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596.32 : 276,827.94 = 109,956.24 : x
  2. Step 2: Convert to fraction form
    200,596.32/276,827.94 = 109,956.24/x
  3. Step 3: Cross multiply
    200,596.32x = 276,827.94 × 109,956.24
  4. Step 4: Simplify right side
    200,596.32x = 30,438,959,409.35
  5. Step 5: Solve for x
    x = 30,438,959,409.35/200,596.32
  6. Step 6: Final answer
    x = 151,742.36

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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.