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Finding the Fourth Proportional to 275,216.64, 412,866 and 97,708.83

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Solution

The fourth proportional to 275,216.64, 412,866 and 97,708.83 is: 146,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,216.64 : 412,866 = 97,708.83 : x
  2. Step 2: Convert to fraction form
    275,216.64/412,866 = 97,708.83/x
  3. Step 3: Cross multiply
    275,216.64x = 412,866 × 97,708.83
  4. Step 4: Simplify right side
    275,216.64x = 40,340,653,806.78
  5. Step 5: Solve for x
    x = 40,340,653,806.78/275,216.64
  6. Step 6: Final answer
    x = 146,577.82

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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.