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Finding the Fourth Proportional to 123,846.96, 170,904.24 and 67,257.12

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Solution

The fourth proportional to 123,846.96, 170,904.24 and 67,257.12 is: 92,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,846.96 : 170,904.24 = 67,257.12 : x
  2. Step 2: Convert to fraction form
    123,846.96/170,904.24 = 67,257.12/x
  3. Step 3: Cross multiply
    123,846.96x = 170,904.24 × 67,257.12
  4. Step 4: Simplify right side
    123,846.96x = 11,494,526,978.19
  5. Step 5: Solve for x
    x = 11,494,526,978.19/123,846.96
  6. Step 6: Final answer
    x = 92,812.35

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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.