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Finding the Fourth Proportional to 222,769.35, 307,393.38 and 127,282.23

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Solution

The fourth proportional to 222,769.35, 307,393.38 and 127,282.23 is: 175,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,769.35 : 307,393.38 = 127,282.23 : x
  2. Step 2: Convert to fraction form
    222,769.35/307,393.38 = 127,282.23/x
  3. Step 3: Cross multiply
    222,769.35x = 307,393.38 × 127,282.23
  4. Step 4: Simplify right side
    222,769.35x = 39,125,714,893.64
  5. Step 5: Solve for x
    x = 39,125,714,893.64/222,769.35
  6. Step 6: Final answer
    x = 175,633.29

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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.