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Finding the Fourth Proportional to 116,954.53, 161,415.44 and 76,784.80

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Solution

The fourth proportional to 116,954.53, 161,415.44 and 76,784.80 is: 105,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,954.53 : 161,415.44 = 76,784.80 : x
  2. Step 2: Convert to fraction form
    116,954.53/161,415.44 = 76,784.80/x
  3. Step 3: Cross multiply
    116,954.53x = 161,415.44 × 76,784.80
  4. Step 4: Simplify right side
    116,954.53x = 12,394,252,277.31
  5. Step 5: Solve for x
    x = 12,394,252,277.31/116,954.53
  6. Step 6: Final answer
    x = 105,974.97

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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.