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Finding the Fourth Proportional to 109,540.60, 164,310.90 and 83,296.60

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Solution

The fourth proportional to 109,540.60, 164,310.90 and 83,296.60 is: 124,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,540.60 : 164,310.90 = 83,296.60 : x
  2. Step 2: Convert to fraction form
    109,540.60/164,310.90 = 83,296.60/x
  3. Step 3: Cross multiply
    109,540.60x = 164,310.90 × 83,296.60
  4. Step 4: Simplify right side
    109,540.60x = 13,686,539,312.94
  5. Step 5: Solve for x
    x = 13,686,539,312.94/109,540.60
  6. Step 6: Final answer
    x = 124,944.90

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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.