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Finding the Fourth Proportional to 188,704.26, 283,084.32 and 62,357.84

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Solution

The fourth proportional to 188,704.26, 283,084.32 and 62,357.84 is: 93,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,704.26 : 283,084.32 = 62,357.84 : x
  2. Step 2: Convert to fraction form
    188,704.26/283,084.32 = 62,357.84/x
  3. Step 3: Cross multiply
    188,704.26x = 283,084.32 × 62,357.84
  4. Step 4: Simplify right side
    188,704.26x = 17,652,525,317.65
  5. Step 5: Solve for x
    x = 17,652,525,317.65/188,704.26
  6. Step 6: Final answer
    x = 93,545.98

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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.