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Finding the Fourth Proportional to 106,122, 146,448.36 and 61,410

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Solution

The fourth proportional to 106,122, 146,448.36 and 61,410 is: 84,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,122 : 146,448.36 = 61,410 : x
  2. Step 2: Convert to fraction form
    106,122/146,448.36 = 61,410/x
  3. Step 3: Cross multiply
    106,122x = 146,448.36 × 61,410
  4. Step 4: Simplify right side
    106,122x = 8,993,393,787.60
  5. Step 5: Solve for x
    x = 8,993,393,787.60/106,122
  6. Step 6: Final answer
    x = 84,745.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.