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Finding the Fourth Proportional to 196,527.54, 294,791.31 and 48,783.54

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Solution

The fourth proportional to 196,527.54, 294,791.31 and 48,783.54 is: 73,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,527.54 : 294,791.31 = 48,783.54 : x
  2. Step 2: Convert to fraction form
    196,527.54/294,791.31 = 48,783.54/x
  3. Step 3: Cross multiply
    196,527.54x = 294,791.31 × 48,783.54
  4. Step 4: Simplify right side
    196,527.54x = 14,380,963,663.04
  5. Step 5: Solve for x
    x = 14,380,963,663.04/196,527.54
  6. Step 6: Final answer
    x = 73,175.31

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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.