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Finding the Fourth Proportional to 164,283.28, 226,707.72 and 92,662

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Solution

The fourth proportional to 164,283.28, 226,707.72 and 92,662 is: 127,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,283.28 : 226,707.72 = 92,662 : x
  2. Step 2: Convert to fraction form
    164,283.28/226,707.72 = 92,662/x
  3. Step 3: Cross multiply
    164,283.28x = 226,707.72 × 92,662
  4. Step 4: Simplify right side
    164,283.28x = 21,007,190,750.64
  5. Step 5: Solve for x
    x = 21,007,190,750.64/164,283.28
  6. Step 6: Final answer
    x = 127,871.75

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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.