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Finding the Fourth Proportional to 100,049.49, 150,179.96 and 97,790.61

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Solution

The fourth proportional to 100,049.49, 150,179.96 and 97,790.61 is: 146,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,049.49 : 150,179.96 = 97,790.61 : x
  2. Step 2: Convert to fraction form
    100,049.49/150,179.96 = 97,790.61/x
  3. Step 3: Cross multiply
    100,049.49x = 150,179.96 × 97,790.61
  4. Step 4: Simplify right side
    100,049.49x = 14,686,189,409.22
  5. Step 5: Solve for x
    x = 14,686,189,409.22/100,049.49
  6. Step 6: Final answer
    x = 146,789.25

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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.