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Finding the Fourth Proportional to 281,731.29, 422,666.25 and 82,053.55

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Solution

The fourth proportional to 281,731.29, 422,666.25 and 82,053.55 is: 123,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,731.29 : 422,666.25 = 82,053.55 : x
  2. Step 2: Convert to fraction form
    281,731.29/422,666.25 = 82,053.55/x
  3. Step 3: Cross multiply
    281,731.29x = 422,666.25 × 82,053.55
  4. Step 4: Simplify right side
    281,731.29x = 34,681,266,277.69
  5. Step 5: Solve for x
    x = 34,681,266,277.69/281,731.29
  6. Step 6: Final answer
    x = 123,100.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.