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Finding the Fourth Proportional to 196,502.46, 294,771.51 and 54,356.64

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Solution

The fourth proportional to 196,502.46, 294,771.51 and 54,356.64 is: 81,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,502.46 : 294,771.51 = 54,356.64 : x
  2. Step 2: Convert to fraction form
    196,502.46/294,771.51 = 54,356.64/x
  3. Step 3: Cross multiply
    196,502.46x = 294,771.51 × 54,356.64
  4. Step 4: Simplify right side
    196,502.46x = 16,022,788,851.33
  5. Step 5: Solve for x
    x = 16,022,788,851.33/196,502.46
  6. Step 6: Final answer
    x = 81,539.89

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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.