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Finding the Fourth Proportional to 194,711.36, 268,711.36 and 109,826.88

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Solution

The fourth proportional to 194,711.36, 268,711.36 and 109,826.88 is: 151,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,711.36 : 268,711.36 = 109,826.88 : x
  2. Step 2: Convert to fraction form
    194,711.36/268,711.36 = 109,826.88/x
  3. Step 3: Cross multiply
    194,711.36x = 268,711.36 × 109,826.88
  4. Step 4: Simplify right side
    194,711.36x = 29,511,730,289.36
  5. Step 5: Solve for x
    x = 29,511,730,289.36/194,711.36
  6. Step 6: Final answer
    x = 151,566.56

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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.