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Finding the Fourth Proportional to 126,000.20, 189,000.30 and 37,245.80

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Solution

The fourth proportional to 126,000.20, 189,000.30 and 37,245.80 is: 55,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,000.20 : 189,000.30 = 37,245.80 : x
  2. Step 2: Convert to fraction form
    126,000.20/189,000.30 = 37,245.80/x
  3. Step 3: Cross multiply
    126,000.20x = 189,000.30 × 37,245.80
  4. Step 4: Simplify right side
    126,000.20x = 7,039,467,373.74
  5. Step 5: Solve for x
    x = 7,039,467,373.74/126,000.20
  6. Step 6: Final answer
    x = 55,868.70

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