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Finding the Fourth Proportional to 188,377.44, 259,975.32 and 107,830.22

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Solution

The fourth proportional to 188,377.44, 259,975.32 and 107,830.22 is: 148,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,377.44 : 259,975.32 = 107,830.22 : x
  2. Step 2: Convert to fraction form
    188,377.44/259,975.32 = 107,830.22/x
  3. Step 3: Cross multiply
    188,377.44x = 259,975.32 × 107,830.22
  4. Step 4: Simplify right side
    188,377.44x = 28,033,195,950.17
  5. Step 5: Solve for x
    x = 28,033,195,950.17/188,377.44
  6. Step 6: Final answer
    x = 148,813.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.