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Finding the Fourth Proportional to 188,864.65, 283,230.96 and 55,709.56

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Solution

The fourth proportional to 188,864.65, 283,230.96 and 55,709.56 is: 83,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,864.65 : 283,230.96 = 55,709.56 : x
  2. Step 2: Convert to fraction form
    188,864.65/283,230.96 = 55,709.56/x
  3. Step 3: Cross multiply
    188,864.65x = 283,230.96 × 55,709.56
  4. Step 4: Simplify right side
    188,864.65x = 15,778,672,159.98
  5. Step 5: Solve for x
    x = 15,778,672,159.98/188,864.65
  6. Step 6: Final answer
    x = 83,544.87

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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.