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Finding the Fourth Proportional to 106,104.50, 146,431.41 and 61,392.50

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Solution

The fourth proportional to 106,104.50, 146,431.41 and 61,392.50 is: 84,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,104.50 : 146,431.41 = 61,392.50 : x
  2. Step 2: Convert to fraction form
    106,104.50/146,431.41 = 61,392.50/x
  3. Step 3: Cross multiply
    106,104.50x = 146,431.41 × 61,392.50
  4. Step 4: Simplify right side
    106,104.50x = 8,989,790,338.43
  5. Step 5: Solve for x
    x = 8,989,790,338.43/106,104.50
  6. Step 6: Final answer
    x = 84,725.82

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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.