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Finding the Fourth Proportional to 224,333, 336,649.14 and 116,361.88

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Solution

The fourth proportional to 224,333, 336,649.14 and 116,361.88 is: 174,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,333 : 336,649.14 = 116,361.88 : x
  2. Step 2: Convert to fraction form
    224,333/336,649.14 = 116,361.88/x
  3. Step 3: Cross multiply
    224,333x = 336,649.14 × 116,361.88
  4. Step 4: Simplify right side
    224,333x = 39,173,126,830.78
  5. Step 5: Solve for x
    x = 39,173,126,830.78/224,333
  6. Step 6: Final answer
    x = 174,620.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.