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Finding the Fourth Proportional to 189,273.47, 283,949.39 and 76,953.71

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Solution

The fourth proportional to 189,273.47, 283,949.39 and 76,953.71 is: 115,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,273.47 : 283,949.39 = 76,953.71 : x
  2. Step 2: Convert to fraction form
    189,273.47/283,949.39 = 76,953.71/x
  3. Step 3: Cross multiply
    189,273.47x = 283,949.39 × 76,953.71
  4. Step 4: Simplify right side
    189,273.47x = 21,850,957,592.99
  5. Step 5: Solve for x
    x = 21,850,957,592.99/189,273.47
  6. Step 6: Final answer
    x = 115,446.49

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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.