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Finding the Fourth Proportional to 194,776.94, 268,799.16 and 113,099.07

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Solution

The fourth proportional to 194,776.94, 268,799.16 and 113,099.07 is: 156,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,776.94 : 268,799.16 = 113,099.07 : x
  2. Step 2: Convert to fraction form
    194,776.94/268,799.16 = 113,099.07/x
  3. Step 3: Cross multiply
    194,776.94x = 268,799.16 × 113,099.07
  4. Step 4: Simplify right side
    194,776.94x = 30,400,935,012.78
  5. Step 5: Solve for x
    x = 30,400,935,012.78/194,776.94
  6. Step 6: Final answer
    x = 156,080.78

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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.