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Finding the Fourth Proportional to 360,817.64, 541,274.28 and 133,082.60

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Solution

The fourth proportional to 360,817.64, 541,274.28 and 133,082.60 is: 199,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,817.64 : 541,274.28 = 133,082.60 : x
  2. Step 2: Convert to fraction form
    360,817.64/541,274.28 = 133,082.60/x
  3. Step 3: Cross multiply
    360,817.64x = 541,274.28 × 133,082.60
  4. Step 4: Simplify right side
    360,817.64x = 72,034,188,495.53
  5. Step 5: Solve for x
    x = 72,034,188,495.53/360,817.64
  6. Step 6: Final answer
    x = 199,641.54

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Why These Related Problems?

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