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Finding the Fourth Proportional to 143,882.30, 215,823.45 and 81,674.30

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Solution

The fourth proportional to 143,882.30, 215,823.45 and 81,674.30 is: 122,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,882.30 : 215,823.45 = 81,674.30 : x
  2. Step 2: Convert to fraction form
    143,882.30/215,823.45 = 81,674.30/x
  3. Step 3: Cross multiply
    143,882.30x = 215,823.45 × 81,674.30
  4. Step 4: Simplify right side
    143,882.30x = 17,627,229,202.34
  5. Step 5: Solve for x
    x = 17,627,229,202.34/143,882.30
  6. Step 6: Final answer
    x = 122,511.45

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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.