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Finding the Fourth Proportional to 196,508.50, 294,762.75 and 48,764.50

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Solution

The fourth proportional to 196,508.50, 294,762.75 and 48,764.50 is: 73,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,508.50 : 294,762.75 = 48,764.50 : x
  2. Step 2: Convert to fraction form
    196,508.50/294,762.75 = 48,764.50/x
  3. Step 3: Cross multiply
    196,508.50x = 294,762.75 × 48,764.50
  4. Step 4: Simplify right side
    196,508.50x = 14,373,958,122.38
  5. Step 5: Solve for x
    x = 14,373,958,122.38/196,508.50
  6. Step 6: Final answer
    x = 73,146.75

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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.