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Finding the Fourth Proportional to 164,656.62, 227,224.71 and 89,204.94

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Solution

The fourth proportional to 164,656.62, 227,224.71 and 89,204.94 is: 123,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,656.62 : 227,224.71 = 89,204.94 : x
  2. Step 2: Convert to fraction form
    164,656.62/227,224.71 = 89,204.94/x
  3. Step 3: Cross multiply
    164,656.62x = 227,224.71 × 89,204.94
  4. Step 4: Simplify right side
    164,656.62x = 20,269,566,622.07
  5. Step 5: Solve for x
    x = 20,269,566,622.07/164,656.62
  6. Step 6: Final answer
    x = 123,102.04

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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.