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Finding the Fourth Proportional to 222,782.51, 334,168.22 and 65,012.33

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Solution

The fourth proportional to 222,782.51, 334,168.22 and 65,012.33 is: 97,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,782.51 : 334,168.22 = 65,012.33 : x
  2. Step 2: Convert to fraction form
    222,782.51/334,168.22 = 65,012.33/x
  3. Step 3: Cross multiply
    222,782.51x = 334,168.22 × 65,012.33
  4. Step 4: Simplify right side
    222,782.51x = 21,725,054,269.09
  5. Step 5: Solve for x
    x = 21,725,054,269.09/222,782.51
  6. Step 6: Final answer
    x = 97,516.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.