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Finding the Fourth Proportional to 196,259, 270,837.42 and 106,835

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Solution

The fourth proportional to 196,259, 270,837.42 and 106,835 is: 147,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,259 : 270,837.42 = 106,835 : x
  2. Step 2: Convert to fraction form
    196,259/270,837.42 = 106,835/x
  3. Step 3: Cross multiply
    196,259x = 270,837.42 × 106,835
  4. Step 4: Simplify right side
    196,259x = 28,934,915,765.70
  5. Step 5: Solve for x
    x = 28,934,915,765.70/196,259
  6. Step 6: Final answer
    x = 147,432.30

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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.