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Finding the Fourth Proportional to 196,512.54, 294,768.81 and 48,768.54

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Solution

The fourth proportional to 196,512.54, 294,768.81 and 48,768.54 is: 73,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,512.54 : 294,768.81 = 48,768.54 : x
  2. Step 2: Convert to fraction form
    196,512.54/294,768.81 = 48,768.54/x
  3. Step 3: Cross multiply
    196,512.54x = 294,768.81 × 48,768.54
  4. Step 4: Simplify right side
    196,512.54x = 14,375,444,501.24
  5. Step 5: Solve for x
    x = 14,375,444,501.24/196,512.54
  6. Step 6: Final answer
    x = 73,152.81

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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.