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Finding the Fourth Proportional to 122,811.41, 184,217.10 and 34,064.92

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Solution

The fourth proportional to 122,811.41, 184,217.10 and 34,064.92 is: 51,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,811.41 : 184,217.10 = 34,064.92 : x
  2. Step 2: Convert to fraction form
    122,811.41/184,217.10 = 34,064.92/x
  3. Step 3: Cross multiply
    122,811.41x = 184,217.10 × 34,064.92
  4. Step 4: Simplify right side
    122,811.41x = 6,275,340,377.46
  5. Step 5: Solve for x
    x = 6,275,340,377.46/122,811.41
  6. Step 6: Final answer
    x = 51,097.37

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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.