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Finding the Fourth Proportional to 188,713.58, 283,073.21 and 48,469.10

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Solution

The fourth proportional to 188,713.58, 283,073.21 and 48,469.10 is: 72,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,713.58 : 283,073.21 = 48,469.10 : x
  2. Step 2: Convert to fraction form
    188,713.58/283,073.21 = 48,469.10/x
  3. Step 3: Cross multiply
    188,713.58x = 283,073.21 × 48,469.10
  4. Step 4: Simplify right side
    188,713.58x = 13,720,303,722.81
  5. Step 5: Solve for x
    x = 13,720,303,722.81/188,713.58
  6. Step 6: Final answer
    x = 72,704.38

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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.