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Finding the Fourth Proportional to 180,029.92, 270,049.20 and 55,372

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Solution

The fourth proportional to 180,029.92, 270,049.20 and 55,372 is: 83,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,029.92 : 270,049.20 = 55,372 : x
  2. Step 2: Convert to fraction form
    180,029.92/270,049.20 = 55,372/x
  3. Step 3: Cross multiply
    180,029.92x = 270,049.20 × 55,372
  4. Step 4: Simplify right side
    180,029.92x = 14,953,164,302.40
  5. Step 5: Solve for x
    x = 14,953,164,302.40/180,029.92
  6. Step 6: Final answer
    x = 83,059.33

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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.