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Finding the Fourth Proportional to 92,241.86, 138,362.82 and 71,212.58

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Solution

The fourth proportional to 92,241.86, 138,362.82 and 71,212.58 is: 106,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,241.86 : 138,362.82 = 71,212.58 : x
  2. Step 2: Convert to fraction form
    92,241.86/138,362.82 = 71,212.58/x
  3. Step 3: Cross multiply
    92,241.86x = 138,362.82 × 71,212.58
  4. Step 4: Simplify right side
    92,241.86x = 9,853,173,388.28
  5. Step 5: Solve for x
    x = 9,853,173,388.28/92,241.86
  6. Step 6: Final answer
    x = 106,818.89

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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.