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Finding the Fourth Proportional to 135,914.60, 203,904.30 and 65,736.20

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Solution

The fourth proportional to 135,914.60, 203,904.30 and 65,736.20 is: 98,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,914.60 : 203,904.30 = 65,736.20 : x
  2. Step 2: Convert to fraction form
    135,914.60/203,904.30 = 65,736.20/x
  3. Step 3: Cross multiply
    135,914.60x = 203,904.30 × 65,736.20
  4. Step 4: Simplify right side
    135,914.60x = 13,403,893,845.66
  5. Step 5: Solve for x
    x = 13,403,893,845.66/135,914.60
  6. Step 6: Final answer
    x = 98,619.97

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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.