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Finding the Fourth Proportional to 202,764.64, 304,164.26 and 53,004.69

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Solution

The fourth proportional to 202,764.64, 304,164.26 and 53,004.69 is: 79,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,764.64 : 304,164.26 = 53,004.69 : x
  2. Step 2: Convert to fraction form
    202,764.64/304,164.26 = 53,004.69/x
  3. Step 3: Cross multiply
    202,764.64x = 304,164.26 × 53,004.69
  4. Step 4: Simplify right side
    202,764.64x = 16,122,131,673.82
  5. Step 5: Solve for x
    x = 16,122,131,673.82/202,764.64
  6. Step 6: Final answer
    x = 79,511.55

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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.