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Finding the Fourth Proportional to 180,461.77, 270,540.38 and 113,754.86

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Solution

The fourth proportional to 180,461.77, 270,540.38 and 113,754.86 is: 170,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,461.77 : 270,540.38 = 113,754.86 : x
  2. Step 2: Convert to fraction form
    180,461.77/270,540.38 = 113,754.86/x
  3. Step 3: Cross multiply
    180,461.77x = 270,540.38 × 113,754.86
  4. Step 4: Simplify right side
    180,461.77x = 30,775,281,982.93
  5. Step 5: Solve for x
    x = 30,775,281,982.93/180,461.77
  6. Step 6: Final answer
    x = 170,536.30

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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.