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Finding the Fourth Proportional to 173,198, 259,804.56 and 54,878.06

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Solution

The fourth proportional to 173,198, 259,804.56 and 54,878.06 is: 82,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,198 : 259,804.56 = 54,878.06 : x
  2. Step 2: Convert to fraction form
    173,198/259,804.56 = 54,878.06/x
  3. Step 3: Cross multiply
    173,198x = 259,804.56 × 54,878.06
  4. Step 4: Simplify right side
    173,198x = 14,257,570,231.95
  5. Step 5: Solve for x
    x = 14,257,570,231.95/173,198
  6. Step 6: Final answer
    x = 82,319.49

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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.