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Finding the Fourth Proportional to 226,896, 340,499.52 and 79,152

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Solution

The fourth proportional to 226,896, 340,499.52 and 79,152 is: 118,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,896 : 340,499.52 = 79,152 : x
  2. Step 2: Convert to fraction form
    226,896/340,499.52 = 79,152/x
  3. Step 3: Cross multiply
    226,896x = 340,499.52 × 79,152
  4. Step 4: Simplify right side
    226,896x = 26,951,218,007.04
  5. Step 5: Solve for x
    x = 26,951,218,007.04/226,896
  6. Step 6: Final answer
    x = 118,782.25

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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.