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Finding the Fourth Proportional to 196,465.20, 294,697.80 and 169,738.80

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Solution

The fourth proportional to 196,465.20, 294,697.80 and 169,738.80 is: 254,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,465.20 : 294,697.80 = 169,738.80 : x
  2. Step 2: Convert to fraction form
    196,465.20/294,697.80 = 169,738.80/x
  3. Step 3: Cross multiply
    196,465.20x = 294,697.80 × 169,738.80
  4. Step 4: Simplify right side
    196,465.20x = 50,021,650,934.64
  5. Step 5: Solve for x
    x = 50,021,650,934.64/196,465.20
  6. Step 6: Final answer
    x = 254,608.20

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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.