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Finding the Fourth Proportional to 188,772.52, 260,511.24 and 103,894.78

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Solution

The fourth proportional to 188,772.52, 260,511.24 and 103,894.78 is: 143,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,772.52 : 260,511.24 = 103,894.78 : x
  2. Step 2: Convert to fraction form
    188,772.52/260,511.24 = 103,894.78/x
  3. Step 3: Cross multiply
    188,772.52x = 260,511.24 × 103,894.78
  4. Step 4: Simplify right side
    188,772.52x = 27,065,757,967.33
  5. Step 5: Solve for x
    x = 27,065,757,967.33/188,772.52
  6. Step 6: Final answer
    x = 143,377.64

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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.