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Finding the Fourth Proportional to 164,236.28, 226,564.59 and 106,073.01

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Solution

The fourth proportional to 164,236.28, 226,564.59 and 106,073.01 is: 146,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,236.28 : 226,564.59 = 106,073.01 : x
  2. Step 2: Convert to fraction form
    164,236.28/226,564.59 = 106,073.01/x
  3. Step 3: Cross multiply
    164,236.28x = 226,564.59 × 106,073.01
  4. Step 4: Simplify right side
    164,236.28x = 24,032,388,418.49
  5. Step 5: Solve for x
    x = 24,032,388,418.49/164,236.28
  6. Step 6: Final answer
    x = 146,328.14

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