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Finding the Fourth Proportional to 222,765.54, 334,209.96 and 102,859.17

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Solution

The fourth proportional to 222,765.54, 334,209.96 and 102,859.17 is: 154,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,765.54 : 334,209.96 = 102,859.17 : x
  2. Step 2: Convert to fraction form
    222,765.54/334,209.96 = 102,859.17/x
  3. Step 3: Cross multiply
    222,765.54x = 334,209.96 × 102,859.17
  4. Step 4: Simplify right side
    222,765.54x = 34,376,559,091.33
  5. Step 5: Solve for x
    x = 34,376,559,091.33/222,765.54
  6. Step 6: Final answer
    x = 154,317.22

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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.