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Finding the Fourth Proportional to 164,194.50, 226,588.50 and 88,743

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Solution

The fourth proportional to 164,194.50, 226,588.50 and 88,743 is: 122,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,194.50 : 226,588.50 = 88,743 : x
  2. Step 2: Convert to fraction form
    164,194.50/226,588.50 = 88,743/x
  3. Step 3: Cross multiply
    164,194.50x = 226,588.50 × 88,743
  4. Step 4: Simplify right side
    164,194.50x = 20,108,143,255.50
  5. Step 5: Solve for x
    x = 20,108,143,255.50/164,194.50
  6. Step 6: Final answer
    x = 122,465.39

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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.