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Finding the Fourth Proportional to 159,792.85, 239,647.79 and 47,446.66

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Solution

The fourth proportional to 159,792.85, 239,647.79 and 47,446.66 is: 71,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,792.85 : 239,647.79 = 47,446.66 : x
  2. Step 2: Convert to fraction form
    159,792.85/239,647.79 = 47,446.66/x
  3. Step 3: Cross multiply
    159,792.85x = 239,647.79 × 47,446.66
  4. Step 4: Simplify right side
    159,792.85x = 11,370,486,731.38
  5. Step 5: Solve for x
    x = 11,370,486,731.38/159,792.85
  6. Step 6: Final answer
    x = 71,157.67

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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.