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Finding the Fourth Proportional to 194,963.88, 269,037.30 and 113,284.92

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Solution

The fourth proportional to 194,963.88, 269,037.30 and 113,284.92 is: 156,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,963.88 : 269,037.30 = 113,284.92 : x
  2. Step 2: Convert to fraction form
    194,963.88/269,037.30 = 113,284.92/x
  3. Step 3: Cross multiply
    194,963.88x = 269,037.30 × 113,284.92
  4. Step 4: Simplify right side
    194,963.88x = 30,477,869,007.52
  5. Step 5: Solve for x
    x = 30,477,869,007.52/194,963.88
  6. Step 6: Final answer
    x = 156,325.72

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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.