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Finding the Fourth Proportional to 164,664.59, 227,238.08 and 89,213.09

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Solution

The fourth proportional to 164,664.59, 227,238.08 and 89,213.09 is: 123,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,664.59 : 227,238.08 = 89,213.09 : x
  2. Step 2: Convert to fraction form
    164,664.59/227,238.08 = 89,213.09/x
  3. Step 3: Cross multiply
    164,664.59x = 227,238.08 × 89,213.09
  4. Step 4: Simplify right side
    164,664.59x = 20,272,609,700.21
  5. Step 5: Solve for x
    x = 20,272,609,700.21/164,664.59
  6. Step 6: Final answer
    x = 123,114.57

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Why These Related Problems?

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