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Finding the Fourth Proportional to 101,755.37, 140,413.14 and 56,433.23

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Solution

The fourth proportional to 101,755.37, 140,413.14 and 56,433.23 is: 77,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755.37 : 140,413.14 = 56,433.23 : x
  2. Step 2: Convert to fraction form
    101,755.37/140,413.14 = 56,433.23/x
  3. Step 3: Cross multiply
    101,755.37x = 140,413.14 × 56,433.23
  4. Step 4: Simplify right side
    101,755.37x = 7,923,966,322.58
  5. Step 5: Solve for x
    x = 7,923,966,322.58/101,755.37
  6. Step 6: Final answer
    x = 77,872.71

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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.