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Finding the Fourth Proportional to 222,264.80, 333,324.30 and 82,005.20

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Solution

The fourth proportional to 222,264.80, 333,324.30 and 82,005.20 is: 122,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,264.80 : 333,324.30 = 82,005.20 : x
  2. Step 2: Convert to fraction form
    222,264.80/333,324.30 = 82,005.20/x
  3. Step 3: Cross multiply
    222,264.80x = 333,324.30 × 82,005.20
  4. Step 4: Simplify right side
    222,264.80x = 27,334,325,886.36
  5. Step 5: Solve for x
    x = 27,334,325,886.36/222,264.80
  6. Step 6: Final answer
    x = 122,980.90

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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.