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Finding the Fourth Proportional to 122,228.34, 183,314.22 and 47,323.56

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Solution

The fourth proportional to 122,228.34, 183,314.22 and 47,323.56 is: 70,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,228.34 : 183,314.22 = 47,323.56 : x
  2. Step 2: Convert to fraction form
    122,228.34/183,314.22 = 47,323.56/x
  3. Step 3: Cross multiply
    122,228.34x = 183,314.22 × 47,323.56
  4. Step 4: Simplify right side
    122,228.34x = 8,675,081,489.02
  5. Step 5: Solve for x
    x = 8,675,081,489.02/122,228.34
  6. Step 6: Final answer
    x = 70,974.39

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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.