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Finding the Fourth Proportional to 150,265.80, 224,961.30 and 145,891.80

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Solution

The fourth proportional to 150,265.80, 224,961.30 and 145,891.80 is: 218,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,265.80 : 224,961.30 = 145,891.80 : x
  2. Step 2: Convert to fraction form
    150,265.80/224,961.30 = 145,891.80/x
  3. Step 3: Cross multiply
    150,265.80x = 224,961.30 × 145,891.80
  4. Step 4: Simplify right side
    150,265.80x = 32,820,008,987.34
  5. Step 5: Solve for x
    x = 32,820,008,987.34/150,265.80
  6. Step 6: Final answer
    x = 218,413.03

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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.