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Finding the Fourth Proportional to 116,534.66, 160,731.80 and 86,321.24

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Solution

The fourth proportional to 116,534.66, 160,731.80 and 86,321.24 is: 119,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,534.66 : 160,731.80 = 86,321.24 : x
  2. Step 2: Convert to fraction form
    116,534.66/160,731.80 = 86,321.24/x
  3. Step 3: Cross multiply
    116,534.66x = 160,731.80 × 86,321.24
  4. Step 4: Simplify right side
    116,534.66x = 13,874,568,283.43
  5. Step 5: Solve for x
    x = 13,874,568,283.43/116,534.66
  6. Step 6: Final answer
    x = 119,059.59

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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.