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Finding the Fourth Proportional to 194,710.80, 268,704.39 and 114,196.38

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Solution

The fourth proportional to 194,710.80, 268,704.39 and 114,196.38 is: 157,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,710.80 : 268,704.39 = 114,196.38 : x
  2. Step 2: Convert to fraction form
    194,710.80/268,704.39 = 114,196.38/x
  3. Step 3: Cross multiply
    194,710.80x = 268,704.39 × 114,196.38
  4. Step 4: Simplify right side
    194,710.80x = 30,685,068,628.11
  5. Step 5: Solve for x
    x = 30,685,068,628.11/194,710.80
  6. Step 6: Final answer
    x = 157,593.05

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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.