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Finding the Fourth Proportional to 173,233.78, 259,858 and 54,902.50

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Solution

The fourth proportional to 173,233.78, 259,858 and 54,902.50 is: 82,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,233.78 : 259,858 = 54,902.50 : x
  2. Step 2: Convert to fraction form
    173,233.78/259,858 = 54,902.50/x
  3. Step 3: Cross multiply
    173,233.78x = 259,858 × 54,902.50
  4. Step 4: Simplify right side
    173,233.78x = 14,266,853,845
  5. Step 5: Solve for x
    x = 14,266,853,845/173,233.78
  6. Step 6: Final answer
    x = 82,356.07

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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.