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Finding the Fourth Proportional to 224,209.68, 309,234.28 and 143,644.64

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Solution

The fourth proportional to 224,209.68, 309,234.28 and 143,644.64 is: 198,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,209.68 : 309,234.28 = 143,644.64 : x
  2. Step 2: Convert to fraction form
    224,209.68/309,234.28 = 143,644.64/x
  3. Step 3: Cross multiply
    224,209.68x = 309,234.28 × 143,644.64
  4. Step 4: Simplify right side
    224,209.68x = 44,419,846,826.26
  5. Step 5: Solve for x
    x = 44,419,846,826.26/224,209.68
  6. Step 6: Final answer
    x = 198,117.44

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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.