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Finding the Fourth Proportional to 381,053.80, 571,580.96 and 96,765.67

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Solution

The fourth proportional to 381,053.80, 571,580.96 and 96,765.67 is: 145,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,053.80 : 571,580.96 = 96,765.67 : x
  2. Step 2: Convert to fraction form
    381,053.80/571,580.96 = 96,765.67/x
  3. Step 3: Cross multiply
    381,053.80x = 571,580.96 × 96,765.67
  4. Step 4: Simplify right side
    381,053.80x = 55,309,414,553.64
  5. Step 5: Solve for x
    x = 55,309,414,553.64/381,053.80
  6. Step 6: Final answer
    x = 145,148.57

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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.