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Finding the Fourth Proportional to 164,859.14, 246,904.14 and 120,375.56

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Solution

The fourth proportional to 164,859.14, 246,904.14 and 120,375.56 is: 180,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,859.14 : 246,904.14 = 120,375.56 : x
  2. Step 2: Convert to fraction form
    164,859.14/246,904.14 = 120,375.56/x
  3. Step 3: Cross multiply
    164,859.14x = 246,904.14 × 120,375.56
  4. Step 4: Simplify right side
    164,859.14x = 29,721,224,118.82
  5. Step 5: Solve for x
    x = 29,721,224,118.82/164,859.14
  6. Step 6: Final answer
    x = 180,282.54

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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.