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Finding the Fourth Proportional to 106,807.15, 160,219.84 and 27,921.25

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Solution

The fourth proportional to 106,807.15, 160,219.84 and 27,921.25 is: 41,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,807.15 : 160,219.84 = 27,921.25 : x
  2. Step 2: Convert to fraction form
    106,807.15/160,219.84 = 27,921.25/x
  3. Step 3: Cross multiply
    106,807.15x = 160,219.84 × 27,921.25
  4. Step 4: Simplify right side
    106,807.15x = 4,473,538,207.60
  5. Step 5: Solve for x
    x = 4,473,538,207.60/106,807.15
  6. Step 6: Final answer
    x = 41,884.26

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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.