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Finding the Fourth Proportional to 294,107.75, 441,105.33 and 114,193.16

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Solution

The fourth proportional to 294,107.75, 441,105.33 and 114,193.16 is: 171,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,107.75 : 441,105.33 = 114,193.16 : x
  2. Step 2: Convert to fraction form
    294,107.75/441,105.33 = 114,193.16/x
  3. Step 3: Cross multiply
    294,107.75x = 441,105.33 × 114,193.16
  4. Step 4: Simplify right side
    294,107.75x = 50,371,211,525.54
  5. Step 5: Solve for x
    x = 50,371,211,525.54/294,107.75
  6. Step 6: Final answer
    x = 171,267.88

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1.5x scale

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.