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Finding the Fourth Proportional to 188,560.44, 282,839.93 and 76,239.32

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Solution

The fourth proportional to 188,560.44, 282,839.93 and 76,239.32 is: 114,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,560.44 : 282,839.93 = 76,239.32 : x
  2. Step 2: Convert to fraction form
    188,560.44/282,839.93 = 76,239.32/x
  3. Step 3: Cross multiply
    188,560.44x = 282,839.93 × 76,239.32
  4. Step 4: Simplify right side
    188,560.44x = 21,563,522,136.65
  5. Step 5: Solve for x
    x = 21,563,522,136.65/188,560.44
  6. Step 6: Final answer
    x = 114,358.68

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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.