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Finding the Fourth Proportional to 294,104.33, 441,147.25 and 161,816.11

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Solution

The fourth proportional to 294,104.33, 441,147.25 and 161,816.11 is: 242,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,104.33 : 441,147.25 = 161,816.11 : x
  2. Step 2: Convert to fraction form
    294,104.33/441,147.25 = 161,816.11/x
  3. Step 3: Cross multiply
    294,104.33x = 441,147.25 × 161,816.11
  4. Step 4: Simplify right side
    294,104.33x = 71,384,731,932.20
  5. Step 5: Solve for x
    x = 71,384,731,932.20/294,104.33
  6. Step 6: Final answer
    x = 242,719.08

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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.