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Finding the Fourth Proportional to 245,192.79, 338,517 and 194,410.65

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Solution

The fourth proportional to 245,192.79, 338,517 and 194,410.65 is: 268,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,192.79 : 338,517 = 194,410.65 : x
  2. Step 2: Convert to fraction form
    245,192.79/338,517 = 194,410.65/x
  3. Step 3: Cross multiply
    245,192.79x = 338,517 × 194,410.65
  4. Step 4: Simplify right side
    245,192.79x = 65,811,310,006.05
  5. Step 5: Solve for x
    x = 65,811,310,006.05/245,192.79
  6. Step 6: Final answer
    x = 268,406.38

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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.