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Finding the Fourth Proportional to 122,900.52, 184,274.46 and 51,786.57

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Solution

The fourth proportional to 122,900.52, 184,274.46 and 51,786.57 is: 77,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,900.52 : 184,274.46 = 51,786.57 : x
  2. Step 2: Convert to fraction form
    122,900.52/184,274.46 = 51,786.57/x
  3. Step 3: Cross multiply
    122,900.52x = 184,274.46 × 51,786.57
  4. Step 4: Simplify right side
    122,900.52x = 9,542,941,139.74
  5. Step 5: Solve for x
    x = 9,542,941,139.74/122,900.52
  6. Step 6: Final answer
    x = 77,647.69

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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.