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Finding the Fourth Proportional to 164,742, 227,344.77 and 89,290.50

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Solution

The fourth proportional to 164,742, 227,344.77 and 89,290.50 is: 123,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,742 : 227,344.77 = 89,290.50 : x
  2. Step 2: Convert to fraction form
    164,742/227,344.77 = 89,290.50/x
  3. Step 3: Cross multiply
    164,742x = 227,344.77 × 89,290.50
  4. Step 4: Simplify right side
    164,742x = 20,299,728,185.69
  5. Step 5: Solve for x
    x = 20,299,728,185.69/164,742
  6. Step 6: Final answer
    x = 123,221.33

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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.