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Finding the Fourth Proportional to 204,635.81, 282,387.96 and 113,990.88

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Solution

The fourth proportional to 204,635.81, 282,387.96 and 113,990.88 is: 157,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,635.81 : 282,387.96 = 113,990.88 : x
  2. Step 2: Convert to fraction form
    204,635.81/282,387.96 = 113,990.88/x
  3. Step 3: Cross multiply
    204,635.81x = 282,387.96 × 113,990.88
  4. Step 4: Simplify right side
    204,635.81x = 32,189,652,061.80
  5. Step 5: Solve for x
    x = 32,189,652,061.80/204,635.81
  6. Step 6: Final answer
    x = 157,302.15

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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.