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Finding the Fourth Proportional to 102,738.34, 154,046.01 and 42,694.41

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Solution

The fourth proportional to 102,738.34, 154,046.01 and 42,694.41 is: 64,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,738.34 : 154,046.01 = 42,694.41 : x
  2. Step 2: Convert to fraction form
    102,738.34/154,046.01 = 42,694.41/x
  3. Step 3: Cross multiply
    102,738.34x = 154,046.01 × 42,694.41
  4. Step 4: Simplify right side
    102,738.34x = 6,576,903,509.80
  5. Step 5: Solve for x
    x = 6,576,903,509.80/102,738.34
  6. Step 6: Final answer
    x = 64,016.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.