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Finding the Fourth Proportional to 96,206.98, 144,329.37 and 29,635.78

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Solution

The fourth proportional to 96,206.98, 144,329.37 and 29,635.78 is: 44,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,206.98 : 144,329.37 = 29,635.78 : x
  2. Step 2: Convert to fraction form
    96,206.98/144,329.37 = 29,635.78/x
  3. Step 3: Cross multiply
    96,206.98x = 144,329.37 × 29,635.78
  4. Step 4: Simplify right side
    96,206.98x = 4,277,313,456.86
  5. Step 5: Solve for x
    x = 4,277,313,456.86/96,206.98
  6. Step 6: Final answer
    x = 44,459.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.