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Finding the Fourth Proportional to 245,192.78, 338,517 and 194,410.64

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Solution

The fourth proportional to 245,192.78, 338,517 and 194,410.64 is: 268,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,192.78 : 338,517 = 194,410.64 : x
  2. Step 2: Convert to fraction form
    245,192.78/338,517 = 194,410.64/x
  3. Step 3: Cross multiply
    245,192.78x = 338,517 × 194,410.64
  4. Step 4: Simplify right side
    245,192.78x = 65,811,307,467.17
  5. Step 5: Solve for x
    x = 65,811,307,467.17/245,192.78
  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.