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Finding the Fourth Proportional to 204,818.70, 307,228.05 and 111,276.30

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Solution

The fourth proportional to 204,818.70, 307,228.05 and 111,276.30 is: 166,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,818.70 : 307,228.05 = 111,276.30 : x
  2. Step 2: Convert to fraction form
    204,818.70/307,228.05 = 111,276.30/x
  3. Step 3: Cross multiply
    204,818.70x = 307,228.05 × 111,276.30
  4. Step 4: Simplify right side
    204,818.70x = 34,187,200,660.22
  5. Step 5: Solve for x
    x = 34,187,200,660.22/204,818.70
  6. Step 6: Final answer
    x = 166,914.45

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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.