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Finding the Fourth Proportional to 173,103, 259,654.50 and 41,775

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Solution

The fourth proportional to 173,103, 259,654.50 and 41,775 is: 62,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,103 : 259,654.50 = 41,775 : x
  2. Step 2: Convert to fraction form
    173,103/259,654.50 = 41,775/x
  3. Step 3: Cross multiply
    173,103x = 259,654.50 × 41,775
  4. Step 4: Simplify right side
    173,103x = 10,847,066,737.50
  5. Step 5: Solve for x
    x = 10,847,066,737.50/173,103
  6. Step 6: Final answer
    x = 62,662.50

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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.