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Finding the Fourth Proportional to 135,647.60, 203,471.40 and 109,403.60

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Solution

The fourth proportional to 135,647.60, 203,471.40 and 109,403.60 is: 164,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,647.60 : 203,471.40 = 109,403.60 : x
  2. Step 2: Convert to fraction form
    135,647.60/203,471.40 = 109,403.60/x
  3. Step 3: Cross multiply
    135,647.60x = 203,471.40 × 109,403.60
  4. Step 4: Simplify right side
    135,647.60x = 22,260,503,657.04
  5. Step 5: Solve for x
    x = 22,260,503,657.04/135,647.60
  6. Step 6: Final answer
    x = 164,105.40

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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.