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Finding the Fourth Proportional to 226,956.42, 340,644.87 and 114,715.98

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Solution

The fourth proportional to 226,956.42, 340,644.87 and 114,715.98 is: 172,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,956.42 : 340,644.87 = 114,715.98 : x
  2. Step 2: Convert to fraction form
    226,956.42/340,644.87 = 114,715.98/x
  3. Step 3: Cross multiply
    226,956.42x = 340,644.87 × 114,715.98
  4. Step 4: Simplify right side
    226,956.42x = 39,077,410,094.02
  5. Step 5: Solve for x
    x = 39,077,410,094.02/226,956.42
  6. Step 6: Final answer
    x = 172,180.24

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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.