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Finding the Fourth Proportional to 110,675, 166,010.94 and 51,477.56

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Solution

The fourth proportional to 110,675, 166,010.94 and 51,477.56 is: 77,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,675 : 166,010.94 = 51,477.56 : x
  2. Step 2: Convert to fraction form
    110,675/166,010.94 = 51,477.56/x
  3. Step 3: Cross multiply
    110,675x = 166,010.94 × 51,477.56
  4. Step 4: Simplify right side
    110,675x = 8,545,838,124.51
  5. Step 5: Solve for x
    x = 8,545,838,124.51/110,675
  6. Step 6: Final answer
    x = 77,215.61

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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.