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Finding the Fourth Proportional to 194,230.78, 291,416.13 and 67,889.61

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Solution

The fourth proportional to 194,230.78, 291,416.13 and 67,889.61 is: 101,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,230.78 : 291,416.13 = 67,889.61 : x
  2. Step 2: Convert to fraction form
    194,230.78/291,416.13 = 67,889.61/x
  3. Step 3: Cross multiply
    194,230.78x = 291,416.13 × 67,889.61
  4. Step 4: Simplify right side
    194,230.78x = 19,784,127,413.41
  5. Step 5: Solve for x
    x = 19,784,127,413.41/194,230.78
  6. Step 6: Final answer
    x = 101,858.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.