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Finding the Fourth Proportional to 194,709.12, 268,723.23 and 113,019.91

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Solution

The fourth proportional to 194,709.12, 268,723.23 and 113,019.91 is: 155,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,709.12 : 268,723.23 = 113,019.91 : x
  2. Step 2: Convert to fraction form
    194,709.12/268,723.23 = 113,019.91/x
  3. Step 3: Cross multiply
    194,709.12x = 268,723.23 × 113,019.91
  4. Step 4: Simplify right side
    194,709.12x = 30,371,074,173.88
  5. Step 5: Solve for x
    x = 30,371,074,173.88/194,709.12
  6. Step 6: Final answer
    x = 155,981.78

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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.