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Finding the Fourth Proportional to 135,700.80, 203,493.60 and 65,601.60

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Solution

The fourth proportional to 135,700.80, 203,493.60 and 65,601.60 is: 98,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,700.80 : 203,493.60 = 65,601.60 : x
  2. Step 2: Convert to fraction form
    135,700.80/203,493.60 = 65,601.60/x
  3. Step 3: Cross multiply
    135,700.80x = 203,493.60 × 65,601.60
  4. Step 4: Simplify right side
    135,700.80x = 13,349,505,749.76
  5. Step 5: Solve for x
    x = 13,349,505,749.76/135,700.80
  6. Step 6: Final answer
    x = 98,374.55

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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.