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Finding the Fourth Proportional to 193,385.98, 290,138.36 and 92,313.01

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Solution

The fourth proportional to 193,385.98, 290,138.36 and 92,313.01 is: 138,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,385.98 : 290,138.36 = 92,313.01 : x
  2. Step 2: Convert to fraction form
    193,385.98/290,138.36 = 92,313.01/x
  3. Step 3: Cross multiply
    193,385.98x = 290,138.36 × 92,313.01
  4. Step 4: Simplify right side
    193,385.98x = 26,783,544,413.16
  5. Step 5: Solve for x
    x = 26,783,544,413.16/193,385.98
  6. Step 6: Final answer
    x = 138,497.86

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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.