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Finding the Fourth Proportional to 123,823.41, 170,878.32 and 67,234.92

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Solution

The fourth proportional to 123,823.41, 170,878.32 and 67,234.92 is: 92,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,823.41 : 170,878.32 = 67,234.92 : x
  2. Step 2: Convert to fraction form
    123,823.41/170,878.32 = 67,234.92/x
  3. Step 3: Cross multiply
    123,823.41x = 170,878.32 × 67,234.92
  4. Step 4: Simplify right side
    123,823.41x = 11,488,990,174.93
  5. Step 5: Solve for x
    x = 11,488,990,174.93/123,823.41
  6. Step 6: Final answer
    x = 92,785.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.