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Finding the Fourth Proportional to 273,151.20, 409,712.19 and 83,611.66

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Solution

The fourth proportional to 273,151.20, 409,712.19 and 83,611.66 is: 125,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,151.20 : 409,712.19 = 83,611.66 : x
  2. Step 2: Convert to fraction form
    273,151.20/409,712.19 = 83,611.66/x
  3. Step 3: Cross multiply
    273,151.20x = 409,712.19 × 83,611.66
  4. Step 4: Simplify right side
    273,151.20x = 34,256,715,303.85
  5. Step 5: Solve for x
    x = 34,256,715,303.85/273,151.20
  6. Step 6: Final answer
    x = 125,413.01

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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.