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Finding the Fourth Proportional to 200,468.44, 276,639.19 and 114,431.86

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Solution

The fourth proportional to 200,468.44, 276,639.19 and 114,431.86 is: 157,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,468.44 : 276,639.19 = 114,431.86 : x
  2. Step 2: Convert to fraction form
    200,468.44/276,639.19 = 114,431.86/x
  3. Step 3: Cross multiply
    200,468.44x = 276,639.19 × 114,431.86
  4. Step 4: Simplify right side
    200,468.44x = 31,656,337,060.59
  5. Step 5: Solve for x
    x = 31,656,337,060.59/200,468.44
  6. Step 6: Final answer
    x = 157,911.82

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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.