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Finding the Fourth Proportional to 149,177.44, 205,818.40 and 84,636

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Solution

The fourth proportional to 149,177.44, 205,818.40 and 84,636 is: 116,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,177.44 : 205,818.40 = 84,636 : x
  2. Step 2: Convert to fraction form
    149,177.44/205,818.40 = 84,636/x
  3. Step 3: Cross multiply
    149,177.44x = 205,818.40 × 84,636
  4. Step 4: Simplify right side
    149,177.44x = 17,419,646,102.40
  5. Step 5: Solve for x
    x = 17,419,646,102.40/149,177.44
  6. Step 6: Final answer
    x = 116,771.32

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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.