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Finding the Fourth Proportional to 227,673.93, 341,506.17 and 75,882.03

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Solution

The fourth proportional to 227,673.93, 341,506.17 and 75,882.03 is: 113,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,673.93 : 341,506.17 = 75,882.03 : x
  2. Step 2: Convert to fraction form
    227,673.93/341,506.17 = 75,882.03/x
  3. Step 3: Cross multiply
    227,673.93x = 341,506.17 × 75,882.03
  4. Step 4: Simplify right side
    227,673.93x = 25,914,181,437.13
  5. Step 5: Solve for x
    x = 25,914,181,437.13/227,673.93
  6. Step 6: Final answer
    x = 113,821.47

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Why These Related Problems?

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