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Finding the Fourth Proportional to 422,381.21, 633,573.90 and 106,838.42

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Solution

The fourth proportional to 422,381.21, 633,573.90 and 106,838.42 is: 160,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,381.21 : 633,573.90 = 106,838.42 : x
  2. Step 2: Convert to fraction form
    422,381.21/633,573.90 = 106,838.42/x
  3. Step 3: Cross multiply
    422,381.21x = 633,573.90 × 106,838.42
  4. Step 4: Simplify right side
    422,381.21x = 67,690,031,261.37
  5. Step 5: Solve for x
    x = 67,690,031,261.37/422,381.21
  6. Step 6: Final answer
    x = 160,258.15

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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.