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Finding the Fourth Proportional to 149,782.60, 224,012.94 and 133,258.60

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Solution

The fourth proportional to 149,782.60, 224,012.94 and 133,258.60 is: 199,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,782.60 : 224,012.94 = 133,258.60 : x
  2. Step 2: Convert to fraction form
    149,782.60/224,012.94 = 133,258.60/x
  3. Step 3: Cross multiply
    149,782.60x = 224,012.94 × 133,258.60
  4. Step 4: Simplify right side
    149,782.60x = 29,851,650,766.28
  5. Step 5: Solve for x
    x = 29,851,650,766.28/149,782.60
  6. Step 6: Final answer
    x = 199,299.86

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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.