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Finding the Fourth Proportional to 223,536.88, 309,293.21 and 194,916.22

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Solution

The fourth proportional to 223,536.88, 309,293.21 and 194,916.22 is: 269,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,536.88 : 309,293.21 = 194,916.22 : x
  2. Step 2: Convert to fraction form
    223,536.88/309,293.21 = 194,916.22/x
  3. Step 3: Cross multiply
    223,536.88x = 309,293.21 × 194,916.22
  4. Step 4: Simplify right side
    223,536.88x = 60,286,263,364.87
  5. Step 5: Solve for x
    x = 60,286,263,364.87/223,536.88
  6. Step 6: Final answer
    x = 269,692.69

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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.