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Finding the Fourth Proportional to 137,163.60, 205,344.45 and 97,797.60

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Solution

The fourth proportional to 137,163.60, 205,344.45 and 97,797.60 is: 146,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,163.60 : 205,344.45 = 97,797.60 : x
  2. Step 2: Convert to fraction form
    137,163.60/205,344.45 = 97,797.60/x
  3. Step 3: Cross multiply
    137,163.60x = 205,344.45 × 97,797.60
  4. Step 4: Simplify right side
    137,163.60x = 20,082,194,383.32
  5. Step 5: Solve for x
    x = 20,082,194,383.32/137,163.60
  6. Step 6: Final answer
    x = 146,410.52

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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.