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Finding the Fourth Proportional to 180,028.92, 270,047.70 and 55,371

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Solution

The fourth proportional to 180,028.92, 270,047.70 and 55,371 is: 83,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,028.92 : 270,047.70 = 55,371 : x
  2. Step 2: Convert to fraction form
    180,028.92/270,047.70 = 55,371/x
  3. Step 3: Cross multiply
    180,028.92x = 270,047.70 × 55,371
  4. Step 4: Simplify right side
    180,028.92x = 14,952,811,196.70
  5. Step 5: Solve for x
    x = 14,952,811,196.70/180,028.92
  6. Step 6: Final answer
    x = 83,057.83

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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.