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Finding the Fourth Proportional to 196,413.40, 294,773.70 and 91,245.40

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Solution

The fourth proportional to 196,413.40, 294,773.70 and 91,245.40 is: 136,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,413.40 : 294,773.70 = 91,245.40 : x
  2. Step 2: Convert to fraction form
    196,413.40/294,773.70 = 91,245.40/x
  3. Step 3: Cross multiply
    196,413.40x = 294,773.70 × 91,245.40
  4. Step 4: Simplify right side
    196,413.40x = 26,896,744,165.98
  5. Step 5: Solve for x
    x = 26,896,744,165.98/196,413.40
  6. Step 6: Final answer
    x = 136,939.46

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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.