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Finding the Fourth Proportional to 126,112, 189,170.88 and 37,363.84

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Solution

The fourth proportional to 126,112, 189,170.88 and 37,363.84 is: 56,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,112 : 189,170.88 = 37,363.84 : x
  2. Step 2: Convert to fraction form
    126,112/189,170.88 = 37,363.84/x
  3. Step 3: Cross multiply
    126,112x = 189,170.88 × 37,363.84
  4. Step 4: Simplify right side
    126,112x = 7,068,150,492.98
  5. Step 5: Solve for x
    x = 7,068,150,492.98/126,112
  6. Step 6: Final answer
    x = 56,046.61

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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.