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Finding the Fourth Proportional to 196,563.75, 294,845.63 and 56,322.38

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Solution

The fourth proportional to 196,563.75, 294,845.63 and 56,322.38 is: 84,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,563.75 : 294,845.63 = 56,322.38 : x
  2. Step 2: Convert to fraction form
    196,563.75/294,845.63 = 56,322.38/x
  3. Step 3: Cross multiply
    196,563.75x = 294,845.63 × 56,322.38
  4. Step 4: Simplify right side
    196,563.75x = 16,606,405,858.36
  5. Step 5: Solve for x
    x = 16,606,405,858.36/196,563.75
  6. Step 6: Final answer
    x = 84,483.56

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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.