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Finding the Fourth Proportional to 196,640, 294,961.08 and 48,896

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Solution

The fourth proportional to 196,640, 294,961.08 and 48,896 is: 73,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,640 : 294,961.08 = 48,896 : x
  2. Step 2: Convert to fraction form
    196,640/294,961.08 = 48,896/x
  3. Step 3: Cross multiply
    196,640x = 294,961.08 × 48,896
  4. Step 4: Simplify right side
    196,640x = 14,422,416,967.68
  5. Step 5: Solve for x
    x = 14,422,416,967.68/196,640
  6. Step 6: Final answer
    x = 73,344.27

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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.