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Finding the Fourth Proportional to 116,461.64, 160,716.09 and 65,474.59

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Solution

The fourth proportional to 116,461.64, 160,716.09 and 65,474.59 is: 90,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461.64 : 160,716.09 = 65,474.59 : x
  2. Step 2: Convert to fraction form
    116,461.64/160,716.09 = 65,474.59/x
  3. Step 3: Cross multiply
    116,461.64x = 160,716.09 × 65,474.59
  4. Step 4: Simplify right side
    116,461.64x = 10,522,820,099.15
  5. Step 5: Solve for x
    x = 10,522,820,099.15/116,461.64
  6. Step 6: Final answer
    x = 90,354.39

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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.