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Finding the Fourth Proportional to 204,475.77, 282,187.35 and 113,839.65

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Solution

The fourth proportional to 204,475.77, 282,187.35 and 113,839.65 is: 157,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,475.77 : 282,187.35 = 113,839.65 : x
  2. Step 2: Convert to fraction form
    204,475.77/282,187.35 = 113,839.65/x
  3. Step 3: Cross multiply
    204,475.77x = 282,187.35 × 113,839.65
  4. Step 4: Simplify right side
    204,475.77x = 32,124,109,158.43
  5. Step 5: Solve for x
    x = 32,124,109,158.43/204,475.77
  6. Step 6: Final answer
    x = 157,104.72

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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.