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Finding the Fourth Proportional to 115,941, 160,001.82 and 65,643.24

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Solution

The fourth proportional to 115,941, 160,001.82 and 65,643.24 is: 90,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,941 : 160,001.82 = 65,643.24 : x
  2. Step 2: Convert to fraction form
    115,941/160,001.82 = 65,643.24/x
  3. Step 3: Cross multiply
    115,941x = 160,001.82 × 65,643.24
  4. Step 4: Simplify right side
    115,941x = 10,503,037,870.70
  5. Step 5: Solve for x
    x = 10,503,037,870.70/115,941
  6. Step 6: Final answer
    x = 90,589.51

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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.