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Finding the Fourth Proportional to 356,115.20, 534,104.64 and 106,796.80

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Solution

The fourth proportional to 356,115.20, 534,104.64 and 106,796.80 is: 160,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,115.20 : 534,104.64 = 106,796.80 : x
  2. Step 2: Convert to fraction form
    356,115.20/534,104.64 = 106,796.80/x
  3. Step 3: Cross multiply
    356,115.20x = 534,104.64 × 106,796.80
  4. Step 4: Simplify right side
    356,115.20x = 57,040,666,417.15
  5. Step 5: Solve for x
    x = 57,040,666,417.15/356,115.20
  6. Step 6: Final answer
    x = 160,174.76

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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.