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Finding the Fourth Proportional to 164,642.36, 227,206.44 and 89,190.86

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Solution

The fourth proportional to 164,642.36, 227,206.44 and 89,190.86 is: 123,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,642.36 : 227,206.44 = 89,190.86 : x
  2. Step 2: Convert to fraction form
    164,642.36/227,206.44 = 89,190.86/x
  3. Step 3: Cross multiply
    164,642.36x = 227,206.44 × 89,190.86
  4. Step 4: Simplify right side
    164,642.36x = 20,264,736,645.11
  5. Step 5: Solve for x
    x = 20,264,736,645.11/164,642.36
  6. Step 6: Final answer
    x = 123,083.37

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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.