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Finding the Fourth Proportional to 202,532.30, 303,805.74 and 76,160.96

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Solution

The fourth proportional to 202,532.30, 303,805.74 and 76,160.96 is: 114,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,532.30 : 303,805.74 = 76,160.96 : x
  2. Step 2: Convert to fraction form
    202,532.30/303,805.74 = 76,160.96/x
  3. Step 3: Cross multiply
    202,532.30x = 303,805.74 × 76,160.96
  4. Step 4: Simplify right side
    202,532.30x = 23,138,136,811.91
  5. Step 5: Solve for x
    x = 23,138,136,811.91/202,532.30
  6. Step 6: Final answer
    x = 114,244.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.