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Finding the Fourth Proportional to 116,023.92, 160,142.04 and 71,286

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Solution

The fourth proportional to 116,023.92, 160,142.04 and 71,286 is: 98,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,023.92 : 160,142.04 = 71,286 : x
  2. Step 2: Convert to fraction form
    116,023.92/160,142.04 = 71,286/x
  3. Step 3: Cross multiply
    116,023.92x = 160,142.04 × 71,286
  4. Step 4: Simplify right side
    116,023.92x = 11,415,885,463.44
  5. Step 5: Solve for x
    x = 11,415,885,463.44/116,023.92
  6. Step 6: Final answer
    x = 98,392.52

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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.