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Finding the Fourth Proportional to 122,465.82, 183,611.79 and 47,522.73

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Solution

The fourth proportional to 122,465.82, 183,611.79 and 47,522.73 is: 71,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,465.82 : 183,611.79 = 47,522.73 : x
  2. Step 2: Convert to fraction form
    122,465.82/183,611.79 = 47,522.73/x
  3. Step 3: Cross multiply
    122,465.82x = 183,611.79 × 47,522.73
  4. Step 4: Simplify right side
    122,465.82x = 8,725,733,520.99
  5. Step 5: Solve for x
    x = 8,725,733,520.99/122,465.82
  6. Step 6: Final answer
    x = 71,250.36

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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.