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Finding the Fourth Proportional to 223,636.68, 307,649.34 and 196,294.32

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Solution

The fourth proportional to 223,636.68, 307,649.34 and 196,294.32 is: 270,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,636.68 : 307,649.34 = 196,294.32 : x
  2. Step 2: Convert to fraction form
    223,636.68/307,649.34 = 196,294.32/x
  3. Step 3: Cross multiply
    223,636.68x = 307,649.34 × 196,294.32
  4. Step 4: Simplify right side
    223,636.68x = 60,389,817,993.75
  5. Step 5: Solve for x
    x = 60,389,817,993.75/223,636.68
  6. Step 6: Final answer
    x = 270,035.39

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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.