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Finding the Fourth Proportional to 188,954.24, 283,447.68 and 48,711.68

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Solution

The fourth proportional to 188,954.24, 283,447.68 and 48,711.68 is: 73,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,954.24 : 283,447.68 = 48,711.68 : x
  2. Step 2: Convert to fraction form
    188,954.24/283,447.68 = 48,711.68/x
  3. Step 3: Cross multiply
    188,954.24x = 283,447.68 × 48,711.68
  4. Step 4: Simplify right side
    188,954.24x = 13,807,212,684.90
  5. Step 5: Solve for x
    x = 13,807,212,684.90/188,954.24
  6. Step 6: Final answer
    x = 73,071.73

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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.