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Finding the Fourth Proportional to 108,708.72, 149,949 and 78,538.38

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Solution

The fourth proportional to 108,708.72, 149,949 and 78,538.38 is: 108,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,708.72 : 149,949 = 78,538.38 : x
  2. Step 2: Convert to fraction form
    108,708.72/149,949 = 78,538.38/x
  3. Step 3: Cross multiply
    108,708.72x = 149,949 × 78,538.38
  4. Step 4: Simplify right side
    108,708.72x = 11,776,751,542.62
  5. Step 5: Solve for x
    x = 11,776,751,542.62/108,708.72
  6. Step 6: Final answer
    x = 108,333.09

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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.