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Finding the Fourth Proportional to 216,107.77, 297,951.48 and 177,202.27

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Solution

The fourth proportional to 216,107.77, 297,951.48 and 177,202.27 is: 244,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,107.77 : 297,951.48 = 177,202.27 : x
  2. Step 2: Convert to fraction form
    216,107.77/297,951.48 = 177,202.27/x
  3. Step 3: Cross multiply
    216,107.77x = 297,951.48 × 177,202.27
  4. Step 4: Simplify right side
    216,107.77x = 52,797,678,605.86
  5. Step 5: Solve for x
    x = 52,797,678,605.86/216,107.77
  6. Step 6: Final answer
    x = 244,311.80

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1.5x scale

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.