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Finding the Fourth Proportional to 139,000.12, 191,815.50 and 82,377.88

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Solution

The fourth proportional to 139,000.12, 191,815.50 and 82,377.88 is: 113,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,000.12 : 191,815.50 = 82,377.88 : x
  2. Step 2: Convert to fraction form
    139,000.12/191,815.50 = 82,377.88/x
  3. Step 3: Cross multiply
    139,000.12x = 191,815.50 × 82,377.88
  4. Step 4: Simplify right side
    139,000.12x = 15,801,354,241.14
  5. Step 5: Solve for x
    x = 15,801,354,241.14/139,000.12
  6. Step 6: Final answer
    x = 113,678.71

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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.