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Finding the Fourth Proportional to 105,882.58, 146,120.32 and 58,136.12

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Solution

The fourth proportional to 105,882.58, 146,120.32 and 58,136.12 is: 80,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,882.58 : 146,120.32 = 58,136.12 : x
  2. Step 2: Convert to fraction form
    105,882.58/146,120.32 = 58,136.12/x
  3. Step 3: Cross multiply
    105,882.58x = 146,120.32 × 58,136.12
  4. Step 4: Simplify right side
    105,882.58x = 8,494,868,457.96
  5. Step 5: Solve for x
    x = 8,494,868,457.96/105,882.58
  6. Step 6: Final answer
    x = 80,229.14

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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.