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Finding the Fourth Proportional to 111,957.20, 167,644.20 and 106,708.40

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Solution

The fourth proportional to 111,957.20, 167,644.20 and 106,708.40 is: 159,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,957.20 : 167,644.20 = 106,708.40 : x
  2. Step 2: Convert to fraction form
    111,957.20/167,644.20 = 106,708.40/x
  3. Step 3: Cross multiply
    111,957.20x = 167,644.20 × 106,708.40
  4. Step 4: Simplify right side
    111,957.20x = 17,889,044,351.28
  5. Step 5: Solve for x
    x = 17,889,044,351.28/111,957.20
  6. Step 6: Final answer
    x = 159,784.67

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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.