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Finding the Fourth Proportional to 148,025.44, 204,276.72 and 80,956

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Solution

The fourth proportional to 148,025.44, 204,276.72 and 80,956 is: 111,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,025.44 : 204,276.72 = 80,956 : x
  2. Step 2: Convert to fraction form
    148,025.44/204,276.72 = 80,956/x
  3. Step 3: Cross multiply
    148,025.44x = 204,276.72 × 80,956
  4. Step 4: Simplify right side
    148,025.44x = 16,537,426,144.32
  5. Step 5: Solve for x
    x = 16,537,426,144.32/148,025.44
  6. Step 6: Final answer
    x = 111,720.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.