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Finding the Fourth Proportional to 140,609.30, 194,037.24 and 83,249.34

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Solution

The fourth proportional to 140,609.30, 194,037.24 and 83,249.34 is: 114,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,609.30 : 194,037.24 = 83,249.34 : x
  2. Step 2: Convert to fraction form
    140,609.30/194,037.24 = 83,249.34/x
  3. Step 3: Cross multiply
    140,609.30x = 194,037.24 × 83,249.34
  4. Step 4: Simplify right side
    140,609.30x = 16,153,472,165.42
  5. Step 5: Solve for x
    x = 16,153,472,165.42/140,609.30
  6. Step 6: Final answer
    x = 114,881.96

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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.