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Finding the Fourth Proportional to 107,295.09, 160,906.19 and 37,158

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Solution

The fourth proportional to 107,295.09, 160,906.19 and 37,158 is: 55,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,295.09 : 160,906.19 = 37,158 : x
  2. Step 2: Convert to fraction form
    107,295.09/160,906.19 = 37,158/x
  3. Step 3: Cross multiply
    107,295.09x = 160,906.19 × 37,158
  4. Step 4: Simplify right side
    107,295.09x = 5,978,952,022.23
  5. Step 5: Solve for x
    x = 5,978,952,022.23/107,295.09
  6. Step 6: Final answer
    x = 55,724.38

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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.