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Finding the Fourth Proportional to 234,468.54, 323,640.16 and 149,585.54

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Solution

The fourth proportional to 234,468.54, 323,640.16 and 149,585.54 is: 206,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,468.54 : 323,640.16 = 149,585.54 : x
  2. Step 2: Convert to fraction form
    234,468.54/323,640.16 = 149,585.54/x
  3. Step 3: Cross multiply
    234,468.54x = 323,640.16 × 149,585.54
  4. Step 4: Simplify right side
    234,468.54x = 48,411,886,107.12
  5. Step 5: Solve for x
    x = 48,411,886,107.12/234,468.54
  6. Step 6: Final answer
    x = 206,474.98

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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.