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Finding the Fourth Proportional to 149,441.82, 224,104.41 and 65,227.74

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Solution

The fourth proportional to 149,441.82, 224,104.41 and 65,227.74 is: 97,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,441.82 : 224,104.41 = 65,227.74 : x
  2. Step 2: Convert to fraction form
    149,441.82/224,104.41 = 65,227.74/x
  3. Step 3: Cross multiply
    149,441.82x = 224,104.41 × 65,227.74
  4. Step 4: Simplify right side
    149,441.82x = 14,617,824,188.33
  5. Step 5: Solve for x
    x = 14,617,824,188.33/149,441.82
  6. Step 6: Final answer
    x = 97,816.15

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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.