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Finding the Fourth Proportional to 110,859.74, 166,377.10 and 51,664.94

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Solution

The fourth proportional to 110,859.74, 166,377.10 and 51,664.94 is: 77,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,859.74 : 166,377.10 = 51,664.94 : x
  2. Step 2: Convert to fraction form
    110,859.74/166,377.10 = 51,664.94/x
  3. Step 3: Cross multiply
    110,859.74x = 166,377.10 × 51,664.94
  4. Step 4: Simplify right side
    110,859.74x = 8,595,862,888.87
  5. Step 5: Solve for x
    x = 8,595,862,888.87/110,859.74
  6. Step 6: Final answer
    x = 77,538.18

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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.