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Finding the Fourth Proportional to 188,944.77, 283,412.43 and 76,594.94

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Solution

The fourth proportional to 188,944.77, 283,412.43 and 76,594.94 is: 114,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,944.77 : 283,412.43 = 76,594.94 : x
  2. Step 2: Convert to fraction form
    188,944.77/283,412.43 = 76,594.94/x
  3. Step 3: Cross multiply
    188,944.77x = 283,412.43 × 76,594.94
  4. Step 4: Simplify right side
    188,944.77x = 21,707,956,654.04
  5. Step 5: Solve for x
    x = 21,707,956,654.04/188,944.77
  6. Step 6: Final answer
    x = 114,890.49

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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.