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Finding the Fourth Proportional to 116,109.21, 160,080.39 and 75,200.58

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Solution

The fourth proportional to 116,109.21, 160,080.39 and 75,200.58 is: 103,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,109.21 : 160,080.39 = 75,200.58 : x
  2. Step 2: Convert to fraction form
    116,109.21/160,080.39 = 75,200.58/x
  3. Step 3: Cross multiply
    116,109.21x = 160,080.39 × 75,200.58
  4. Step 4: Simplify right side
    116,109.21x = 12,038,138,174.63
  5. Step 5: Solve for x
    x = 12,038,138,174.63/116,109.21
  6. Step 6: Final answer
    x = 103,679.44

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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.