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Finding the Fourth Proportional to 160,651.40, 221,704.83 and 96,976.89

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Solution

The fourth proportional to 160,651.40, 221,704.83 and 96,976.89 is: 133,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,651.40 : 221,704.83 = 96,976.89 : x
  2. Step 2: Convert to fraction form
    160,651.40/221,704.83 = 96,976.89/x
  3. Step 3: Cross multiply
    160,651.40x = 221,704.83 × 96,976.89
  4. Step 4: Simplify right side
    160,651.40x = 21,500,244,911.38
  5. Step 5: Solve for x
    x = 21,500,244,911.38/160,651.40
  6. Step 6: Final answer
    x = 133,831.67

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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.