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Finding the Fourth Proportional to 126,597.06, 189,727.92 and 67,305.06

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Solution

The fourth proportional to 126,597.06, 189,727.92 and 67,305.06 is: 100,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,597.06 : 189,727.92 = 67,305.06 : x
  2. Step 2: Convert to fraction form
    126,597.06/189,727.92 = 67,305.06/x
  3. Step 3: Cross multiply
    126,597.06x = 189,727.92 × 67,305.06
  4. Step 4: Simplify right side
    126,597.06x = 12,769,649,039.28
  5. Step 5: Solve for x
    x = 12,769,649,039.28/126,597.06
  6. Step 6: Final answer
    x = 100,868.45

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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.