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Finding the Fourth Proportional to 165,413.40, 248,249.70 and 76,677.90

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Solution

The fourth proportional to 165,413.40, 248,249.70 and 76,677.90 is: 115,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,413.40 : 248,249.70 = 76,677.90 : x
  2. Step 2: Convert to fraction form
    165,413.40/248,249.70 = 76,677.90/x
  3. Step 3: Cross multiply
    165,413.40x = 248,249.70 × 76,677.90
  4. Step 4: Simplify right side
    165,413.40x = 19,035,265,671.63
  5. Step 5: Solve for x
    x = 19,035,265,671.63/165,413.40
  6. Step 6: Final answer
    x = 115,076.93

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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.