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Finding the Fourth Proportional to 298,665.67, 412,158.45 and 164,529.67

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Solution

The fourth proportional to 298,665.67, 412,158.45 and 164,529.67 is: 227,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,665.67 : 412,158.45 = 164,529.67 : x
  2. Step 2: Convert to fraction form
    298,665.67/412,158.45 = 164,529.67/x
  3. Step 3: Cross multiply
    298,665.67x = 412,158.45 × 164,529.67
  4. Step 4: Simplify right side
    298,665.67x = 67,812,293,766.21
  5. Step 5: Solve for x
    x = 67,812,293,766.21/298,665.67
  6. Step 6: Final answer
    x = 227,050.85

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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.