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Finding the Fourth Proportional to 264,753.57, 397,129.75 and 114,974.45

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Solution

The fourth proportional to 264,753.57, 397,129.75 and 114,974.45 is: 172,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,753.57 : 397,129.75 = 114,974.45 : x
  2. Step 2: Convert to fraction form
    264,753.57/397,129.75 = 114,974.45/x
  3. Step 3: Cross multiply
    264,753.57x = 397,129.75 × 114,974.45
  4. Step 4: Simplify right side
    264,753.57x = 45,659,772,311.80
  5. Step 5: Solve for x
    x = 45,659,772,311.80/264,753.57
  6. Step 6: Final answer
    x = 172,461.40

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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.