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Finding the Fourth Proportional to 204,602.56, 282,359.16 and 112,725.58

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Solution

The fourth proportional to 204,602.56, 282,359.16 and 112,725.58 is: 155,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,602.56 : 282,359.16 = 112,725.58 : x
  2. Step 2: Convert to fraction form
    204,602.56/282,359.16 = 112,725.58/x
  3. Step 3: Cross multiply
    204,602.56x = 282,359.16 × 112,725.58
  4. Step 4: Simplify right side
    204,602.56x = 31,829,100,079.31
  5. Step 5: Solve for x
    x = 31,829,100,079.31/204,602.56
  6. Step 6: Final answer
    x = 155,565.50

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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.