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Finding the Fourth Proportional to 138,676.75, 191,373.83 and 75,014.54

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Solution

The fourth proportional to 138,676.75, 191,373.83 and 75,014.54 is: 103,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,676.75 : 191,373.83 = 75,014.54 : x
  2. Step 2: Convert to fraction form
    138,676.75/191,373.83 = 75,014.54/x
  3. Step 3: Cross multiply
    138,676.75x = 191,373.83 × 75,014.54
  4. Step 4: Simplify right side
    138,676.75x = 14,355,819,825.49
  5. Step 5: Solve for x
    x = 14,355,819,825.49/138,676.75
  6. Step 6: Final answer
    x = 103,520.02

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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.