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Finding the Fourth Proportional to 224,201.66, 309,223.26 and 143,636.64

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Solution

The fourth proportional to 224,201.66, 309,223.26 and 143,636.64 is: 198,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,201.66 : 309,223.26 = 143,636.64 : x
  2. Step 2: Convert to fraction form
    224,201.66/309,223.26 = 143,636.64/x
  3. Step 3: Cross multiply
    224,201.66x = 309,223.26 × 143,636.64
  4. Step 4: Simplify right side
    224,201.66x = 44,415,790,076.25
  5. Step 5: Solve for x
    x = 44,415,790,076.25/224,201.66
  6. Step 6: Final answer
    x = 198,106.43

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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.