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Finding the Fourth Proportional to 226,672.82, 312,593.79 and 145,026.91

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Solution

The fourth proportional to 226,672.82, 312,593.79 and 145,026.91 is: 199,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,672.82 : 312,593.79 = 145,026.91 : x
  2. Step 2: Convert to fraction form
    226,672.82/312,593.79 = 145,026.91/x
  3. Step 3: Cross multiply
    226,672.82x = 312,593.79 × 145,026.91
  4. Step 4: Simplify right side
    226,672.82x = 45,334,511,797.37
  5. Step 5: Solve for x
    x = 45,334,511,797.37/226,672.82
  6. Step 6: Final answer
    x = 199,999.77

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1.5x scale

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.