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Finding the Fourth Proportional to 116,650.96, 160,978.36 and 68,262.19

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Solution

The fourth proportional to 116,650.96, 160,978.36 and 68,262.19 is: 94,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,650.96 : 160,978.36 = 68,262.19 : x
  2. Step 2: Convert to fraction form
    116,650.96/160,978.36 = 68,262.19/x
  3. Step 3: Cross multiply
    116,650.96x = 160,978.36 × 68,262.19
  4. Step 4: Simplify right side
    116,650.96x = 10,988,735,396.21
  5. Step 5: Solve for x
    x = 10,988,735,396.21/116,650.96
  6. Step 6: Final answer
    x = 94,201.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.