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Finding the Fourth Proportional to 202,223.55, 303,292.80 and 102,289.80

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Solution

The fourth proportional to 202,223.55, 303,292.80 and 102,289.80 is: 153,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,223.55 : 303,292.80 = 102,289.80 : x
  2. Step 2: Convert to fraction form
    202,223.55/303,292.80 = 102,289.80/x
  3. Step 3: Cross multiply
    202,223.55x = 303,292.80 × 102,289.80
  4. Step 4: Simplify right side
    202,223.55x = 31,023,759,853.44
  5. Step 5: Solve for x
    x = 31,023,759,853.44/202,223.55
  6. Step 6: Final answer
    x = 153,413.19

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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.