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Finding the Fourth Proportional to 224,894.31, 337,396.83 and 158,464.17

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Solution

The fourth proportional to 224,894.31, 337,396.83 and 158,464.17 is: 237,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,894.31 : 337,396.83 = 158,464.17 : x
  2. Step 2: Convert to fraction form
    224,894.31/337,396.83 = 158,464.17/x
  3. Step 3: Cross multiply
    224,894.31x = 337,396.83 × 158,464.17
  4. Step 4: Simplify right side
    224,894.31x = 53,465,308,626.58
  5. Step 5: Solve for x
    x = 53,465,308,626.58/224,894.31
  6. Step 6: Final answer
    x = 237,735.27

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Why These Related Problems?

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