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Finding the Fourth Proportional to 164,916, 227,584.20 and 89,464.80

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Solution

The fourth proportional to 164,916, 227,584.20 and 89,464.80 is: 123,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,916 : 227,584.20 = 89,464.80 : x
  2. Step 2: Convert to fraction form
    164,916/227,584.20 = 89,464.80/x
  3. Step 3: Cross multiply
    164,916x = 227,584.20 × 89,464.80
  4. Step 4: Simplify right side
    164,916x = 20,360,774,936.16
  5. Step 5: Solve for x
    x = 20,360,774,936.16/164,916
  6. Step 6: Final answer
    x = 123,461.49

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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.