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Finding the Fourth Proportional to 146,492.52, 202,158.57 and 82,832.58

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Solution

The fourth proportional to 146,492.52, 202,158.57 and 82,832.58 is: 114,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,492.52 : 202,158.57 = 82,832.58 : x
  2. Step 2: Convert to fraction form
    146,492.52/202,158.57 = 82,832.58/x
  3. Step 3: Cross multiply
    146,492.52x = 202,158.57 × 82,832.58
  4. Step 4: Simplify right side
    146,492.52x = 16,745,315,922.21
  5. Step 5: Solve for x
    x = 16,745,315,922.21/146,492.52
  6. Step 6: Final answer
    x = 114,308.33

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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.