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Finding the Fourth Proportional to 120,540.32, 180,811.96 and 83,090.32

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Solution

The fourth proportional to 120,540.32, 180,811.96 and 83,090.32 is: 124,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540.32 : 180,811.96 = 83,090.32 : x
  2. Step 2: Convert to fraction form
    120,540.32/180,811.96 = 83,090.32/x
  3. Step 3: Cross multiply
    120,540.32x = 180,811.96 × 83,090.32
  4. Step 4: Simplify right side
    120,540.32x = 15,023,723,616.23
  5. Step 5: Solve for x
    x = 15,023,723,616.23/120,540.32
  6. Step 6: Final answer
    x = 124,636.50

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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.