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Finding the Fourth Proportional to 274,904.55, 412,227.39 and 106,503.72

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Solution

The fourth proportional to 274,904.55, 412,227.39 and 106,503.72 is: 159,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,904.55 : 412,227.39 = 106,503.72 : x
  2. Step 2: Convert to fraction form
    274,904.55/412,227.39 = 106,503.72/x
  3. Step 3: Cross multiply
    274,904.55x = 412,227.39 × 106,503.72
  4. Step 4: Simplify right side
    274,904.55x = 43,903,750,520.89
  5. Step 5: Solve for x
    x = 43,903,750,520.89/274,904.55
  6. Step 6: Final answer
    x = 159,705.43

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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.