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Finding the Fourth Proportional to 105,991.99, 146,122.78 and 84,554.48

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Solution

The fourth proportional to 105,991.99, 146,122.78 and 84,554.48 is: 116,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,991.99 : 146,122.78 = 84,554.48 : x
  2. Step 2: Convert to fraction form
    105,991.99/146,122.78 = 84,554.48/x
  3. Step 3: Cross multiply
    105,991.99x = 146,122.78 × 84,554.48
  4. Step 4: Simplify right side
    105,991.99x = 12,355,335,256.28
  5. Step 5: Solve for x
    x = 12,355,335,256.28/105,991.99
  6. Step 6: Final answer
    x = 116,568.58

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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.