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Finding the Fourth Proportional to 164,418.53, 226,935.50 and 96,457.34

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Solution

The fourth proportional to 164,418.53, 226,935.50 and 96,457.34 is: 133,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,418.53 : 226,935.50 = 96,457.34 : x
  2. Step 2: Convert to fraction form
    164,418.53/226,935.50 = 96,457.34/x
  3. Step 3: Cross multiply
    164,418.53x = 226,935.50 × 96,457.34
  4. Step 4: Simplify right side
    164,418.53x = 21,889,594,766.62
  5. Step 5: Solve for x
    x = 21,889,594,766.62/164,418.53
  6. Step 6: Final answer
    x = 133,133.38

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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.