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Finding the Fourth Proportional to 224,768.70, 310,367.43 and 149,658.30

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Solution

The fourth proportional to 224,768.70, 310,367.43 and 149,658.30 is: 206,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,768.70 : 310,367.43 = 149,658.30 : x
  2. Step 2: Convert to fraction form
    224,768.70/310,367.43 = 149,658.30/x
  3. Step 3: Cross multiply
    224,768.70x = 310,367.43 × 149,658.30
  4. Step 4: Simplify right side
    224,768.70x = 46,449,061,949.17
  5. Step 5: Solve for x
    x = 46,449,061,949.17/224,768.70
  6. Step 6: Final answer
    x = 206,652.71

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1.5x scale

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.