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Finding the Fourth Proportional to 196,505.46, 294,776.01 and 54,359.64

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Solution

The fourth proportional to 196,505.46, 294,776.01 and 54,359.64 is: 81,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,505.46 : 294,776.01 = 54,359.64 : x
  2. Step 2: Convert to fraction form
    196,505.46/294,776.01 = 54,359.64/x
  3. Step 3: Cross multiply
    196,505.46x = 294,776.01 × 54,359.64
  4. Step 4: Simplify right side
    196,505.46x = 16,023,917,784.24
  5. Step 5: Solve for x
    x = 16,023,917,784.24/196,505.46
  6. Step 6: Final answer
    x = 81,544.39

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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.