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Finding the Fourth Proportional to 181,797, 250,899.30 and 106,408.68

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Solution

The fourth proportional to 181,797, 250,899.30 and 106,408.68 is: 146,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,797 : 250,899.30 = 106,408.68 : x
  2. Step 2: Convert to fraction form
    181,797/250,899.30 = 106,408.68/x
  3. Step 3: Cross multiply
    181,797x = 250,899.30 × 106,408.68
  4. Step 4: Simplify right side
    181,797x = 26,697,863,325.92
  5. Step 5: Solve for x
    x = 26,697,863,325.92/181,797
  6. Step 6: Final answer
    x = 146,855.36

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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.