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Finding the Fourth Proportional to 205,096.68, 283,024.26 and 114,447.72

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Solution

The fourth proportional to 205,096.68, 283,024.26 and 114,447.72 is: 157,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,096.68 : 283,024.26 = 114,447.72 : x
  2. Step 2: Convert to fraction form
    205,096.68/283,024.26 = 114,447.72/x
  3. Step 3: Cross multiply
    205,096.68x = 283,024.26 × 114,447.72
  4. Step 4: Simplify right side
    205,096.68x = 32,391,481,261.69
  5. Step 5: Solve for x
    x = 32,391,481,261.69/205,096.68
  6. Step 6: Final answer
    x = 157,932.74

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