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Finding the Fourth Proportional to 164,656.34, 227,226.84 and 89,204.84

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Solution

The fourth proportional to 164,656.34, 227,226.84 and 89,204.84 is: 123,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,656.34 : 227,226.84 = 89,204.84 : x
  2. Step 2: Convert to fraction form
    164,656.34/227,226.84 = 89,204.84/x
  3. Step 3: Cross multiply
    164,656.34x = 227,226.84 × 89,204.84
  4. Step 4: Simplify right side
    164,656.34x = 20,269,733,905.91
  5. Step 5: Solve for x
    x = 20,269,733,905.91/164,656.34
  6. Step 6: Final answer
    x = 123,103.27

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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.