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Finding the Fourth Proportional to 109,898.60, 164,847.90 and 82,250.60

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Solution

The fourth proportional to 109,898.60, 164,847.90 and 82,250.60 is: 123,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.60 : 164,847.90 = 82,250.60 : x
  2. Step 2: Convert to fraction form
    109,898.60/164,847.90 = 82,250.60/x
  3. Step 3: Cross multiply
    109,898.60x = 164,847.90 × 82,250.60
  4. Step 4: Simplify right side
    109,898.60x = 13,558,838,683.74
  5. Step 5: Solve for x
    x = 13,558,838,683.74/109,898.60
  6. Step 6: Final answer
    x = 123,375.90

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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.