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Finding the Fourth Proportional to 223,198.05, 334,799.88 and 65,429.67

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Solution

The fourth proportional to 223,198.05, 334,799.88 and 65,429.67 is: 98,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,198.05 : 334,799.88 = 65,429.67 : x
  2. Step 2: Convert to fraction form
    223,198.05/334,799.88 = 65,429.67/x
  3. Step 3: Cross multiply
    223,198.05x = 334,799.88 × 65,429.67
  4. Step 4: Simplify right side
    223,198.05x = 21,905,845,664.44
  5. Step 5: Solve for x
    x = 21,905,845,664.44/223,198.05
  6. Step 6: Final answer
    x = 98,145.33

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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.