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Finding the Fourth Proportional to 200,339.42, 276,468.36 and 109,695.37

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Solution

The fourth proportional to 200,339.42, 276,468.36 and 109,695.37 is: 151,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,339.42 : 276,468.36 = 109,695.37 : x
  2. Step 2: Convert to fraction form
    200,339.42/276,468.36 = 109,695.37/x
  3. Step 3: Cross multiply
    200,339.42x = 276,468.36 × 109,695.37
  4. Step 4: Simplify right side
    200,339.42x = 30,327,299,043.49
  5. Step 5: Solve for x
    x = 30,327,299,043.49/200,339.42
  6. Step 6: Final answer
    x = 151,379.59

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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.