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Finding the Fourth Proportional to 224,354, 309,630.39 and 123,752

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Solution

The fourth proportional to 224,354, 309,630.39 and 123,752 is: 170,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,354 : 309,630.39 = 123,752 : x
  2. Step 2: Convert to fraction form
    224,354/309,630.39 = 123,752/x
  3. Step 3: Cross multiply
    224,354x = 309,630.39 × 123,752
  4. Step 4: Simplify right side
    224,354x = 38,317,380,023.28
  5. Step 5: Solve for x
    x = 38,317,380,023.28/224,354
  6. Step 6: Final answer
    x = 170,789.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.