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Finding the Fourth Proportional to 106,978.10, 160,467.14 and 28,092.20

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Solution

The fourth proportional to 106,978.10, 160,467.14 and 28,092.20 is: 42,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978.10 : 160,467.14 = 28,092.20 : x
  2. Step 2: Convert to fraction form
    106,978.10/160,467.14 = 28,092.20/x
  3. Step 3: Cross multiply
    106,978.10x = 160,467.14 × 28,092.20
  4. Step 4: Simplify right side
    106,978.10x = 4,507,874,258.20
  5. Step 5: Solve for x
    x = 4,507,874,258.20/106,978.10
  6. Step 6: Final answer
    x = 42,138.29

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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.