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Finding the Fourth Proportional to 196,024.86, 270,398.88 and 123,311.88

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Solution

The fourth proportional to 196,024.86, 270,398.88 and 123,311.88 is: 170,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,024.86 : 270,398.88 = 123,311.88 : x
  2. Step 2: Convert to fraction form
    196,024.86/270,398.88 = 123,311.88/x
  3. Step 3: Cross multiply
    196,024.86x = 270,398.88 × 123,311.88
  4. Step 4: Simplify right side
    196,024.86x = 33,343,394,242.69
  5. Step 5: Solve for x
    x = 33,343,394,242.69/196,024.86
  6. Step 6: Final answer
    x = 170,097.78

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1.5x scale

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.