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Finding the Fourth Proportional to 108,523.80, 162,785.70 and 80,530.20

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Solution

The fourth proportional to 108,523.80, 162,785.70 and 80,530.20 is: 120,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,523.80 : 162,785.70 = 80,530.20 : x
  2. Step 2: Convert to fraction form
    108,523.80/162,785.70 = 80,530.20/x
  3. Step 3: Cross multiply
    108,523.80x = 162,785.70 × 80,530.20
  4. Step 4: Simplify right side
    108,523.80x = 13,109,164,978.14
  5. Step 5: Solve for x
    x = 13,109,164,978.14/108,523.80
  6. Step 6: Final answer
    x = 120,795.30

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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.