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Finding the Fourth Proportional to 149,191.58, 205,884.42 and 82,123.58

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Solution

The fourth proportional to 149,191.58, 205,884.42 and 82,123.58 is: 113,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,191.58 : 205,884.42 = 82,123.58 : x
  2. Step 2: Convert to fraction form
    149,191.58/205,884.42 = 82,123.58/x
  3. Step 3: Cross multiply
    149,191.58x = 205,884.42 × 82,123.58
  4. Step 4: Simplify right side
    149,191.58x = 16,907,965,636.62
  5. Step 5: Solve for x
    x = 16,907,965,636.62/149,191.58
  6. Step 6: Final answer
    x = 113,330.56

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1.5x scale

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.