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Finding the Fourth Proportional to 224,214.66, 309,241.20 and 143,649.66

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Solution

The fourth proportional to 224,214.66, 309,241.20 and 143,649.66 is: 198,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,214.66 : 309,241.20 = 143,649.66 : x
  2. Step 2: Convert to fraction form
    224,214.66/309,241.20 = 143,649.66/x
  3. Step 3: Cross multiply
    224,214.66x = 309,241.20 × 143,649.66
  4. Step 4: Simplify right side
    224,214.66x = 44,422,393,237.99
  5. Step 5: Solve for x
    x = 44,422,393,237.99/224,214.66
  6. Step 6: Final answer
    x = 198,124.39

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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.