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Finding the Fourth Proportional to 108,202.41, 149,074.92 and 75,465.54

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Solution

The fourth proportional to 108,202.41, 149,074.92 and 75,465.54 is: 103,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,202.41 : 149,074.92 = 75,465.54 : x
  2. Step 2: Convert to fraction form
    108,202.41/149,074.92 = 75,465.54/x
  3. Step 3: Cross multiply
    108,202.41x = 149,074.92 × 75,465.54
  4. Step 4: Simplify right side
    108,202.41x = 11,250,019,338.26
  5. Step 5: Solve for x
    x = 11,250,019,338.26/108,202.41
  6. Step 6: Final answer
    x = 103,971.98

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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.