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Finding the Fourth Proportional to 164,219.26, 226,619.56 and 92,599.34

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Solution

The fourth proportional to 164,219.26, 226,619.56 and 92,599.34 is: 127,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,219.26 : 226,619.56 = 92,599.34 : x
  2. Step 2: Convert to fraction form
    164,219.26/226,619.56 = 92,599.34/x
  3. Step 3: Cross multiply
    164,219.26x = 226,619.56 × 92,599.34
  4. Step 4: Simplify right side
    164,219.26x = 20,984,821,172.32
  5. Step 5: Solve for x
    x = 20,984,821,172.32/164,219.26
  6. Step 6: Final answer
    x = 127,785.38

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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.