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Finding the Fourth Proportional to 205,481.64, 283,563.76 and 114,837.55

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Solution

The fourth proportional to 205,481.64, 283,563.76 and 114,837.55 is: 158,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,481.64 : 283,563.76 = 114,837.55 : x
  2. Step 2: Convert to fraction form
    205,481.64/283,563.76 = 114,837.55/x
  3. Step 3: Cross multiply
    205,481.64x = 283,563.76 × 114,837.55
  4. Step 4: Simplify right side
    205,481.64x = 32,563,767,009.49
  5. Step 5: Solve for x
    x = 32,563,767,009.49/205,481.64
  6. Step 6: Final answer
    x = 158,475.32

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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.