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Finding the Fourth Proportional to 234,157, 323,061.24 and 143,418.37

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Solution

The fourth proportional to 234,157, 323,061.24 and 143,418.37 is: 197,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,157 : 323,061.24 = 143,418.37 : x
  2. Step 2: Convert to fraction form
    234,157/323,061.24 = 143,418.37/x
  3. Step 3: Cross multiply
    234,157x = 323,061.24 × 143,418.37
  4. Step 4: Simplify right side
    234,157x = 46,332,916,450.98
  5. Step 5: Solve for x
    x = 46,332,916,450.98/234,157
  6. Step 6: Final answer
    x = 197,871.16

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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.