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Finding the Fourth Proportional to 294,103.33, 441,145.75 and 161,815.11

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Solution

The fourth proportional to 294,103.33, 441,145.75 and 161,815.11 is: 242,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,103.33 : 441,145.75 = 161,815.11 : x
  2. Step 2: Convert to fraction form
    294,103.33/441,145.75 = 161,815.11/x
  3. Step 3: Cross multiply
    294,103.33x = 441,145.75 × 161,815.11
  4. Step 4: Simplify right side
    294,103.33x = 71,384,048,466.82
  5. Step 5: Solve for x
    x = 71,384,048,466.82/294,103.33
  6. Step 6: Final answer
    x = 242,717.58

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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.