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Finding the Fourth Proportional to 188,676.97, 283,015.46 and 48,435.60

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Solution

The fourth proportional to 188,676.97, 283,015.46 and 48,435.60 is: 72,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,676.97 : 283,015.46 = 48,435.60 : x
  2. Step 2: Convert to fraction form
    188,676.97/283,015.46 = 48,435.60/x
  3. Step 3: Cross multiply
    188,676.97x = 283,015.46 × 48,435.60
  4. Step 4: Simplify right side
    188,676.97x = 13,708,023,614.38
  5. Step 5: Solve for x
    x = 13,708,023,614.38/188,676.97
  6. Step 6: Final answer
    x = 72,653.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.