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Finding the Fourth Proportional to 275,413.50, 413,128.62 and 85,880.70

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Solution

The fourth proportional to 275,413.50, 413,128.62 and 85,880.70 is: 128,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,413.50 : 413,128.62 = 85,880.70 : x
  2. Step 2: Convert to fraction form
    275,413.50/413,128.62 = 85,880.70/x
  3. Step 3: Cross multiply
    275,413.50x = 413,128.62 × 85,880.70
  4. Step 4: Simplify right side
    275,413.50x = 35,479,775,075.63
  5. Step 5: Solve for x
    x = 35,479,775,075.63/275,413.50
  6. Step 6: Final answer
    x = 128,823.66

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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.