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Finding the Fourth Proportional to 135,957.48, 204,028.38 and 52,840.68

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Solution

The fourth proportional to 135,957.48, 204,028.38 and 52,840.68 is: 79,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,957.48 : 204,028.38 = 52,840.68 : x
  2. Step 2: Convert to fraction form
    135,957.48/204,028.38 = 52,840.68/x
  3. Step 3: Cross multiply
    135,957.48x = 204,028.38 × 52,840.68
  4. Step 4: Simplify right side
    135,957.48x = 10,780,998,338.50
  5. Step 5: Solve for x
    x = 10,780,998,338.50/135,957.48
  6. Step 6: Final answer
    x = 79,296.84

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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.