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Finding the Fourth Proportional to 124,534.72, 171,741.90 and 82,019.44

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Solution

The fourth proportional to 124,534.72, 171,741.90 and 82,019.44 is: 113,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,534.72 : 171,741.90 = 82,019.44 : x
  2. Step 2: Convert to fraction form
    124,534.72/171,741.90 = 82,019.44/x
  3. Step 3: Cross multiply
    124,534.72x = 171,741.90 × 82,019.44
  4. Step 4: Simplify right side
    124,534.72x = 14,086,174,462.54
  5. Step 5: Solve for x
    x = 14,086,174,462.54/124,534.72
  6. Step 6: Final answer
    x = 113,110.42

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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.