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Finding the Fourth Proportional to 77,153.80, 106,413.37 and 66,416.31

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Solution

The fourth proportional to 77,153.80, 106,413.37 and 66,416.31 is: 91,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,153.80 : 106,413.37 = 66,416.31 : x
  2. Step 2: Convert to fraction form
    77,153.80/106,413.37 = 66,416.31/x
  3. Step 3: Cross multiply
    77,153.80x = 106,413.37 × 66,416.31
  4. Step 4: Simplify right side
    77,153.80x = 7,067,583,370.06
  5. Step 5: Solve for x
    x = 7,067,583,370.06/77,153.80
  6. Step 6: Final answer
    x = 91,603.83

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1.5x scale

Why These Related Problems?

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