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Finding the Fourth Proportional to 159,004.72, 219,195.36 and 111,109.36

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Solution

The fourth proportional to 159,004.72, 219,195.36 and 111,109.36 is: 153,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,004.72 : 219,195.36 = 111,109.36 : x
  2. Step 2: Convert to fraction form
    159,004.72/219,195.36 = 111,109.36/x
  3. Step 3: Cross multiply
    159,004.72x = 219,195.36 × 111,109.36
  4. Step 4: Simplify right side
    159,004.72x = 24,354,656,164.57
  5. Step 5: Solve for x
    x = 24,354,656,164.57/159,004.72
  6. Step 6: Final answer
    x = 153,169.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.