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Finding the Fourth Proportional to 180,370.16, 270,589.26 and 55,682

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Solution

The fourth proportional to 180,370.16, 270,589.26 and 55,682 is: 83,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,370.16 : 270,589.26 = 55,682 : x
  2. Step 2: Convert to fraction form
    180,370.16/270,589.26 = 55,682/x
  3. Step 3: Cross multiply
    180,370.16x = 270,589.26 × 55,682
  4. Step 4: Simplify right side
    180,370.16x = 15,066,951,175.32
  5. Step 5: Solve for x
    x = 15,066,951,175.32/180,370.16
  6. Step 6: Final answer
    x = 83,533.50

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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.