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Finding the Fourth Proportional to 164,406.48, 226,880.46 and 92,786.28

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Solution

The fourth proportional to 164,406.48, 226,880.46 and 92,786.28 is: 128,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,406.48 : 226,880.46 = 92,786.28 : x
  2. Step 2: Convert to fraction form
    164,406.48/226,880.46 = 92,786.28/x
  3. Step 3: Cross multiply
    164,406.48x = 226,880.46 × 92,786.28
  4. Step 4: Simplify right side
    164,406.48x = 21,051,393,888.09
  5. Step 5: Solve for x
    x = 21,051,393,888.09/164,406.48
  6. Step 6: Final answer
    x = 128,044.79

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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.