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Finding the Fourth Proportional to 116,138.75, 160,101.80 and 82,087.16

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Solution

The fourth proportional to 116,138.75, 160,101.80 and 82,087.16 is: 113,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,138.75 : 160,101.80 = 82,087.16 : x
  2. Step 2: Convert to fraction form
    116,138.75/160,101.80 = 82,087.16/x
  3. Step 3: Cross multiply
    116,138.75x = 160,101.80 × 82,087.16
  4. Step 4: Simplify right side
    116,138.75x = 13,142,301,169.77
  5. Step 5: Solve for x
    x = 13,142,301,169.77/116,138.75
  6. Step 6: Final answer
    x = 113,160.35

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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.