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Finding the Fourth Proportional to 149,185.68, 205,876.14 and 82,117.68

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Solution

The fourth proportional to 149,185.68, 205,876.14 and 82,117.68 is: 113,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,185.68 : 205,876.14 = 82,117.68 : x
  2. Step 2: Convert to fraction form
    149,185.68/205,876.14 = 82,117.68/x
  3. Step 3: Cross multiply
    149,185.68x = 205,876.14 × 82,117.68
  4. Step 4: Simplify right side
    149,185.68x = 16,906,070,984.16
  5. Step 5: Solve for x
    x = 16,906,070,984.16/149,185.68
  6. Step 6: Final answer
    x = 113,322.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.