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Finding the Fourth Proportional to 164,664.50, 227,237.22 and 89,213

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Solution

The fourth proportional to 164,664.50, 227,237.22 and 89,213 is: 123,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,664.50 : 227,237.22 = 89,213 : x
  2. Step 2: Convert to fraction form
    164,664.50/227,237.22 = 89,213/x
  3. Step 3: Cross multiply
    164,664.50x = 227,237.22 × 89,213
  4. Step 4: Simplify right side
    164,664.50x = 20,272,514,107.86
  5. Step 5: Solve for x
    x = 20,272,514,107.86/164,664.50
  6. Step 6: Final answer
    x = 123,114.05

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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.