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Finding the Fourth Proportional to 82,873.36, 123,708.74 and 76,705.84

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Solution

The fourth proportional to 82,873.36, 123,708.74 and 76,705.84 is: 114,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873.36 : 123,708.74 = 76,705.84 : x
  2. Step 2: Convert to fraction form
    82,873.36/123,708.74 = 76,705.84/x
  3. Step 3: Cross multiply
    82,873.36x = 123,708.74 × 76,705.84
  4. Step 4: Simplify right side
    82,873.36x = 9,489,182,817.04
  5. Step 5: Solve for x
    x = 9,489,182,817.04/82,873.36
  6. Step 6: Final answer
    x = 114,502.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.