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Finding the Fourth Proportional to 174,769, 261,589.62 and 90,413.02

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Solution

The fourth proportional to 174,769, 261,589.62 and 90,413.02 is: 135,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,769 : 261,589.62 = 90,413.02 : x
  2. Step 2: Convert to fraction form
    174,769/261,589.62 = 90,413.02/x
  3. Step 3: Cross multiply
    174,769x = 261,589.62 × 90,413.02
  4. Step 4: Simplify right side
    174,769x = 23,651,107,544.85
  5. Step 5: Solve for x
    x = 23,651,107,544.85/174,769
  6. Step 6: Final answer
    x = 135,327.82

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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.