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Finding the Fourth Proportional to 138,745.72, 191,469.57 and 75,083.50

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Solution

The fourth proportional to 138,745.72, 191,469.57 and 75,083.50 is: 103,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.72 : 191,469.57 = 75,083.50 : x
  2. Step 2: Convert to fraction form
    138,745.72/191,469.57 = 75,083.50/x
  3. Step 3: Cross multiply
    138,745.72x = 191,469.57 × 75,083.50
  4. Step 4: Simplify right side
    138,745.72x = 14,376,205,459.10
  5. Step 5: Solve for x
    x = 14,376,205,459.10/138,745.72
  6. Step 6: Final answer
    x = 103,615.49

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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.