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Finding the Fourth Proportional to 111,768, 167,652.41 and 106,161.99

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Solution

The fourth proportional to 111,768, 167,652.41 and 106,161.99 is: 159,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,768 : 167,652.41 = 106,161.99 : x
  2. Step 2: Convert to fraction form
    111,768/167,652.41 = 106,161.99/x
  3. Step 3: Cross multiply
    111,768x = 167,652.41 × 106,161.99
  4. Step 4: Simplify right side
    111,768x = 17,798,312,943.09
  5. Step 5: Solve for x
    x = 17,798,312,943.09/111,768
  6. Step 6: Final answer
    x = 159,243.37

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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.