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Finding the Fourth Proportional to 194,803.41, 291,983.85 and 82,413.48

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Solution

The fourth proportional to 194,803.41, 291,983.85 and 82,413.48 is: 123,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,803.41 : 291,983.85 = 82,413.48 : x
  2. Step 2: Convert to fraction form
    194,803.41/291,983.85 = 82,413.48/x
  3. Step 3: Cross multiply
    194,803.41x = 291,983.85 × 82,413.48
  4. Step 4: Simplify right side
    194,803.41x = 24,063,405,182.30
  5. Step 5: Solve for x
    x = 24,063,405,182.30/194,803.41
  6. Step 6: Final answer
    x = 123,526.61

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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.