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Finding the Fourth Proportional to 149,690.88, 224,489.60 and 49,827.73

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Solution

The fourth proportional to 149,690.88, 224,489.60 and 49,827.73 is: 74,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,690.88 : 224,489.60 = 49,827.73 : x
  2. Step 2: Convert to fraction form
    149,690.88/224,489.60 = 49,827.73/x
  3. Step 3: Cross multiply
    149,690.88x = 224,489.60 × 49,827.73
  4. Step 4: Simplify right side
    149,690.88x = 11,185,806,927.47
  5. Step 5: Solve for x
    x = 11,185,806,927.47/149,690.88
  6. Step 6: Final answer
    x = 74,726.04

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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.