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Finding the Fourth Proportional to 273,635.80, 410,494.74 and 96,111.52

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Solution

The fourth proportional to 273,635.80, 410,494.74 and 96,111.52 is: 144,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,635.80 : 410,494.74 = 96,111.52 : x
  2. Step 2: Convert to fraction form
    273,635.80/410,494.74 = 96,111.52/x
  3. Step 3: Cross multiply
    273,635.80x = 410,494.74 × 96,111.52
  4. Step 4: Simplify right side
    273,635.80x = 39,453,273,413.40
  5. Step 5: Solve for x
    x = 39,453,273,413.40/273,635.80
  6. Step 6: Final answer
    x = 144,181.69

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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.