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Finding the Fourth Proportional to 126,196, 189,238.56 and 47,254.85

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Solution

The fourth proportional to 126,196, 189,238.56 and 47,254.85 is: 70,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,196 : 189,238.56 = 47,254.85 : x
  2. Step 2: Convert to fraction form
    126,196/189,238.56 = 47,254.85/x
  3. Step 3: Cross multiply
    126,196x = 189,238.56 × 47,254.85
  4. Step 4: Simplify right side
    126,196x = 8,942,439,767.02
  5. Step 5: Solve for x
    x = 8,942,439,767.02/126,196
  6. Step 6: Final answer
    x = 70,861.52

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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.