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Finding the Fourth Proportional to 200,496.96, 276,672.96 and 109,851.84

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Solution

The fourth proportional to 200,496.96, 276,672.96 and 109,851.84 is: 151,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,496.96 : 276,672.96 = 109,851.84 : x
  2. Step 2: Convert to fraction form
    200,496.96/276,672.96 = 109,851.84/x
  3. Step 3: Cross multiply
    200,496.96x = 276,672.96 × 109,851.84
  4. Step 4: Simplify right side
    200,496.96x = 30,393,033,734.25
  5. Step 5: Solve for x
    x = 30,393,033,734.25/200,496.96
  6. Step 6: Final answer
    x = 151,588.50

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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.