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Finding the Fourth Proportional to 202,385.70, 303,413.67 and 75,954.90

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Solution

The fourth proportional to 202,385.70, 303,413.67 and 75,954.90 is: 113,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,385.70 : 303,413.67 = 75,954.90 : x
  2. Step 2: Convert to fraction form
    202,385.70/303,413.67 = 75,954.90/x
  3. Step 3: Cross multiply
    202,385.70x = 303,413.67 × 75,954.90
  4. Step 4: Simplify right side
    202,385.70x = 23,045,754,963.48
  5. Step 5: Solve for x
    x = 23,045,754,963.48/202,385.70
  6. Step 6: Final answer
    x = 113,870.47

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Why These Related Problems?

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