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Finding the Fourth Proportional to 174,769.50, 261,590.35 and 90,413.49

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Solution

The fourth proportional to 174,769.50, 261,590.35 and 90,413.49 is: 135,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,769.50 : 261,590.35 = 90,413.49 : x
  2. Step 2: Convert to fraction form
    174,769.50/261,590.35 = 90,413.49/x
  3. Step 3: Cross multiply
    174,769.50x = 261,590.35 × 90,413.49
  4. Step 4: Simplify right side
    174,769.50x = 23,651,296,493.82
  5. Step 5: Solve for x
    x = 23,651,296,493.82/174,769.50
  6. Step 6: Final answer
    x = 135,328.51

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