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Finding the Fourth Proportional to 196,274, 270,858.48 and 106,850

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Solution

The fourth proportional to 196,274, 270,858.48 and 106,850 is: 147,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,274 : 270,858.48 = 106,850 : x
  2. Step 2: Convert to fraction form
    196,274/270,858.48 = 106,850/x
  3. Step 3: Cross multiply
    196,274x = 270,858.48 × 106,850
  4. Step 4: Simplify right side
    196,274x = 28,941,228,588.00
  5. Step 5: Solve for x
    x = 28,941,228,588.00/196,274
  6. Step 6: Final answer
    x = 147,453.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.