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Finding the Fourth Proportional to 164,103, 246,178.26 and 51,745.08

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Solution

The fourth proportional to 164,103, 246,178.26 and 51,745.08 is: 77,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,103 : 246,178.26 = 51,745.08 : x
  2. Step 2: Convert to fraction form
    164,103/246,178.26 = 51,745.08/x
  3. Step 3: Cross multiply
    164,103x = 246,178.26 × 51,745.08
  4. Step 4: Simplify right side
    164,103x = 12,738,513,757.96
  5. Step 5: Solve for x
    x = 12,738,513,757.96/164,103
  6. Step 6: Final answer
    x = 77,625.11

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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.