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Finding the Fourth Proportional to 226,962.72, 313,263.72 and 131,454

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Solution

The fourth proportional to 226,962.72, 313,263.72 and 131,454 is: 181,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,962.72 : 313,263.72 = 131,454 : x
  2. Step 2: Convert to fraction form
    226,962.72/313,263.72 = 131,454/x
  3. Step 3: Cross multiply
    226,962.72x = 313,263.72 × 131,454
  4. Step 4: Simplify right side
    226,962.72x = 41,179,769,048.88
  5. Step 5: Solve for x
    x = 41,179,769,048.88/226,962.72
  6. Step 6: Final answer
    x = 181,438.47

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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.