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Finding the Fourth Proportional to 140,413.50, 193,771.44 and 90,112.50

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Solution

The fourth proportional to 140,413.50, 193,771.44 and 90,112.50 is: 124,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,413.50 : 193,771.44 = 90,112.50 : x
  2. Step 2: Convert to fraction form
    140,413.50/193,771.44 = 90,112.50/x
  3. Step 3: Cross multiply
    140,413.50x = 193,771.44 × 90,112.50
  4. Step 4: Simplify right side
    140,413.50x = 17,461,228,887
  5. Step 5: Solve for x
    x = 17,461,228,887/140,413.50
  6. Step 6: Final answer
    x = 124,355.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.