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Finding the Fourth Proportional to 164,100, 246,173.76 and 51,742.08

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Solution

The fourth proportional to 164,100, 246,173.76 and 51,742.08 is: 77,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,100 : 246,173.76 = 51,742.08 : x
  2. Step 2: Convert to fraction form
    164,100/246,173.76 = 51,742.08/x
  3. Step 3: Cross multiply
    164,100x = 246,173.76 × 51,742.08
  4. Step 4: Simplify right side
    164,100x = 12,737,542,383.82
  5. Step 5: Solve for x
    x = 12,737,542,383.82/164,100
  6. Step 6: Final answer
    x = 77,620.61

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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.