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Finding the Fourth Proportional to 284,200.60, 426,082.20 and 159,541.60

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Solution

The fourth proportional to 284,200.60, 426,082.20 and 159,541.60 is: 239,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,200.60 : 426,082.20 = 159,541.60 : x
  2. Step 2: Convert to fraction form
    284,200.60/426,082.20 = 159,541.60/x
  3. Step 3: Cross multiply
    284,200.60x = 426,082.20 × 159,541.60
  4. Step 4: Simplify right side
    284,200.60x = 67,977,835,919.52
  5. Step 5: Solve for x
    x = 67,977,835,919.52/284,200.60
  6. Step 6: Final answer
    x = 239,189.63

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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.