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Finding the Fourth Proportional to 109,469.80, 164,204.70 and 59,530.60

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Solution

The fourth proportional to 109,469.80, 164,204.70 and 59,530.60 is: 89,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,469.80 : 164,204.70 = 59,530.60 : x
  2. Step 2: Convert to fraction form
    109,469.80/164,204.70 = 59,530.60/x
  3. Step 3: Cross multiply
    109,469.80x = 164,204.70 × 59,530.60
  4. Step 4: Simplify right side
    109,469.80x = 9,775,204,313.82
  5. Step 5: Solve for x
    x = 9,775,204,313.82/109,469.80
  6. Step 6: Final answer
    x = 89,295.90

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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.