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Finding the Fourth Proportional to 205,382.96, 283,419.60 and 114,738.56

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Solution

The fourth proportional to 205,382.96, 283,419.60 and 114,738.56 is: 158,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,382.96 : 283,419.60 = 114,738.56 : x
  2. Step 2: Convert to fraction form
    205,382.96/283,419.60 = 114,738.56/x
  3. Step 3: Cross multiply
    205,382.96x = 283,419.60 × 114,738.56
  4. Step 4: Simplify right side
    205,382.96x = 32,519,156,779.78
  5. Step 5: Solve for x
    x = 32,519,156,779.78/205,382.96
  6. Step 6: Final answer
    x = 158,334.25

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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.