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Finding the Fourth Proportional to 126,196.62, 189,239.50 and 47,255.48

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Solution

The fourth proportional to 126,196.62, 189,239.50 and 47,255.48 is: 70,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,196.62 : 189,239.50 = 47,255.48 : x
  2. Step 2: Convert to fraction form
    126,196.62/189,239.50 = 47,255.48/x
  3. Step 3: Cross multiply
    126,196.62x = 189,239.50 × 47,255.48
  4. Step 4: Simplify right side
    126,196.62x = 8,942,602,224.99
  5. Step 5: Solve for x
    x = 8,942,602,224.99/126,196.62
  6. Step 6: Final answer
    x = 70,862.45

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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.