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Finding the Fourth Proportional to 221,218.48, 331,827.54 and 55,006.48

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Solution

The fourth proportional to 221,218.48, 331,827.54 and 55,006.48 is: 82,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,218.48 : 331,827.54 = 55,006.48 : x
  2. Step 2: Convert to fraction form
    221,218.48/331,827.54 = 55,006.48/x
  3. Step 3: Cross multiply
    221,218.48x = 331,827.54 × 55,006.48
  4. Step 4: Simplify right side
    221,218.48x = 18,252,664,942.46
  5. Step 5: Solve for x
    x = 18,252,664,942.46/221,218.48
  6. Step 6: Final answer
    x = 82,509.68

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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.