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Finding the Fourth Proportional to 149,805.56, 224,709.20 and 49,965.47

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Solution

The fourth proportional to 149,805.56, 224,709.20 and 49,965.47 is: 74,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,805.56 : 224,709.20 = 49,965.47 : x
  2. Step 2: Convert to fraction form
    149,805.56/224,709.20 = 49,965.47/x
  3. Step 3: Cross multiply
    149,805.56x = 224,709.20 × 49,965.47
  4. Step 4: Simplify right side
    149,805.56x = 11,227,700,791.32
  5. Step 5: Solve for x
    x = 11,227,700,791.32/149,805.56
  6. Step 6: Final answer
    x = 74,948.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.