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Finding the Fourth Proportional to 108,195.98, 149,352.12 and 96,845.45

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Solution

The fourth proportional to 108,195.98, 149,352.12 and 96,845.45 is: 133,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,195.98 : 149,352.12 = 96,845.45 : x
  2. Step 2: Convert to fraction form
    108,195.98/149,352.12 = 96,845.45/x
  3. Step 3: Cross multiply
    108,195.98x = 149,352.12 × 96,845.45
  4. Step 4: Simplify right side
    108,195.98x = 14,464,073,269.85
  5. Step 5: Solve for x
    x = 14,464,073,269.85/108,195.98
  6. Step 6: Final answer
    x = 133,684.02

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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.