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Finding the Fourth Proportional to 204,790.32, 282,612.52 and 112,912.90

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Solution

The fourth proportional to 204,790.32, 282,612.52 and 112,912.90 is: 155,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,790.32 : 282,612.52 = 112,912.90 : x
  2. Step 2: Convert to fraction form
    204,790.32/282,612.52 = 112,912.90/x
  3. Step 3: Cross multiply
    204,790.32x = 282,612.52 × 112,912.90
  4. Step 4: Simplify right side
    204,790.32x = 31,910,599,209.51
  5. Step 5: Solve for x
    x = 31,910,599,209.51/204,790.32
  6. Step 6: Final answer
    x = 155,820.84

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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.