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Finding the Fourth Proportional to 83,104.98, 115,459.07 and 82,108.52

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Solution

The fourth proportional to 83,104.98, 115,459.07 and 82,108.52 is: 114,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104.98 : 115,459.07 = 82,108.52 : x
  2. Step 2: Convert to fraction form
    83,104.98/115,459.07 = 82,108.52/x
  3. Step 3: Cross multiply
    83,104.98x = 115,459.07 × 82,108.52
  4. Step 4: Simplify right side
    83,104.98x = 9,480,173,358.28
  5. Step 5: Solve for x
    x = 9,480,173,358.28/83,104.98
  6. Step 6: Final answer
    x = 114,074.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.