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Finding the Fourth Proportional to 115,945, 160,007.34 and 65,647.24

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Solution

The fourth proportional to 115,945, 160,007.34 and 65,647.24 is: 90,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,945 : 160,007.34 = 65,647.24 : x
  2. Step 2: Convert to fraction form
    115,945/160,007.34 = 65,647.24/x
  3. Step 3: Cross multiply
    115,945x = 160,007.34 × 65,647.24
  4. Step 4: Simplify right side
    115,945x = 10,504,040,250.74
  5. Step 5: Solve for x
    x = 10,504,040,250.74/115,945
  6. Step 6: Final answer
    x = 90,595.03

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