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Finding the Fourth Proportional to 180,508.02, 270,805.23 and 55,849.02

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Solution

The fourth proportional to 180,508.02, 270,805.23 and 55,849.02 is: 83,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,508.02 : 270,805.23 = 55,849.02 : x
  2. Step 2: Convert to fraction form
    180,508.02/270,805.23 = 55,849.02/x
  3. Step 3: Cross multiply
    180,508.02x = 270,805.23 × 55,849.02
  4. Step 4: Simplify right side
    180,508.02x = 15,124,206,706.37
  5. Step 5: Solve for x
    x = 15,124,206,706.37/180,508.02
  6. Step 6: Final answer
    x = 83,786.90

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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.