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Finding the Fourth Proportional to 122,664, 183,936.02 and 50,603.48

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Solution

The fourth proportional to 122,664, 183,936.02 and 50,603.48 is: 75,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,664 : 183,936.02 = 50,603.48 : x
  2. Step 2: Convert to fraction form
    122,664/183,936.02 = 50,603.48/x
  3. Step 3: Cross multiply
    122,664x = 183,936.02 × 50,603.48
  4. Step 4: Simplify right side
    122,664x = 9,307,802,709.35
  5. Step 5: Solve for x
    x = 9,307,802,709.35/122,664
  6. Step 6: Final answer
    x = 75,880.48

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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.