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Finding the Fourth Proportional to 224,764.20, 310,361.22 and 149,653.80

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Solution

The fourth proportional to 224,764.20, 310,361.22 and 149,653.80 is: 206,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,764.20 : 310,361.22 = 149,653.80 : x
  2. Step 2: Convert to fraction form
    224,764.20/310,361.22 = 149,653.80/x
  3. Step 3: Cross multiply
    224,764.20x = 310,361.22 × 149,653.80
  4. Step 4: Simplify right side
    224,764.20x = 46,446,735,945.64
  5. Step 5: Solve for x
    x = 46,446,735,945.64/224,764.20
  6. Step 6: Final answer
    x = 206,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.