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Finding the Fourth Proportional to 116,952.53, 161,412.68 and 76,782.80

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Solution

The fourth proportional to 116,952.53, 161,412.68 and 76,782.80 is: 105,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,952.53 : 161,412.68 = 76,782.80 : x
  2. Step 2: Convert to fraction form
    116,952.53/161,412.68 = 76,782.80/x
  3. Step 3: Cross multiply
    116,952.53x = 161,412.68 × 76,782.80
  4. Step 4: Simplify right side
    116,952.53x = 12,393,718,121.39
  5. Step 5: Solve for x
    x = 12,393,718,121.39/116,952.53
  6. Step 6: Final answer
    x = 105,972.21

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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.