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Finding the Fourth Proportional to 123,934, 171,024.24 and 67,344.16

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Solution

The fourth proportional to 123,934, 171,024.24 and 67,344.16 is: 92,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,934 : 171,024.24 = 67,344.16 : x
  2. Step 2: Convert to fraction form
    123,934/171,024.24 = 67,344.16/x
  3. Step 3: Cross multiply
    123,934x = 171,024.24 × 67,344.16
  4. Step 4: Simplify right side
    123,934x = 11,517,483,782.44
  5. Step 5: Solve for x
    x = 11,517,483,782.44/123,934
  6. Step 6: Final answer
    x = 92,932.40

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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.