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Finding the Fourth Proportional to 117,699.38, 162,372.68 and 78,419.03

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Solution

The fourth proportional to 117,699.38, 162,372.68 and 78,419.03 is: 108,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,699.38 : 162,372.68 = 78,419.03 : x
  2. Step 2: Convert to fraction form
    117,699.38/162,372.68 = 78,419.03/x
  3. Step 3: Cross multiply
    117,699.38x = 162,372.68 × 78,419.03
  4. Step 4: Simplify right side
    117,699.38x = 12,733,108,064.10
  5. Step 5: Solve for x
    x = 12,733,108,064.10/117,699.38
  6. Step 6: Final answer
    x = 108,183.31

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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.