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Finding the Fourth Proportional to 188,644.70, 282,869.66 and 55,507.65

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Solution

The fourth proportional to 188,644.70, 282,869.66 and 55,507.65 is: 83,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,644.70 : 282,869.66 = 55,507.65 : x
  2. Step 2: Convert to fraction form
    188,644.70/282,869.66 = 55,507.65/x
  3. Step 3: Cross multiply
    188,644.70x = 282,869.66 × 55,507.65
  4. Step 4: Simplify right side
    188,644.70x = 15,701,431,157.33
  5. Step 5: Solve for x
    x = 15,701,431,157.33/188,644.70
  6. Step 6: Final answer
    x = 83,232.83

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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.