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Finding the Fourth Proportional to 224,314.70, 309,476.12 and 143,786.63

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Solution

The fourth proportional to 224,314.70, 309,476.12 and 143,786.63 is: 198,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,314.70 : 309,476.12 = 143,786.63 : x
  2. Step 2: Convert to fraction form
    224,314.70/309,476.12 = 143,786.63/x
  3. Step 3: Cross multiply
    224,314.70x = 309,476.12 × 143,786.63
  4. Step 4: Simplify right side
    224,314.70x = 44,498,528,360.28
  5. Step 5: Solve for x
    x = 44,498,528,360.28/224,314.70
  6. Step 6: Final answer
    x = 198,375.44

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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.