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Finding the Fourth Proportional to 301,056.20, 415,463.25 and 165,082.03

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Solution

The fourth proportional to 301,056.20, 415,463.25 and 165,082.03 is: 227,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,056.20 : 415,463.25 = 165,082.03 : x
  2. Step 2: Convert to fraction form
    301,056.20/415,463.25 = 165,082.03/x
  3. Step 3: Cross multiply
    301,056.20x = 415,463.25 × 165,082.03
  4. Step 4: Simplify right side
    301,056.20x = 68,585,518,591.67
  5. Step 5: Solve for x
    x = 68,585,518,591.67/301,056.20
  6. Step 6: Final answer
    x = 227,816.33

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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.