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Finding the Fourth Proportional to 144,256.38, 199,070.13 and 80,594.65

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Solution

The fourth proportional to 144,256.38, 199,070.13 and 80,594.65 is: 111,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,256.38 : 199,070.13 = 80,594.65 : x
  2. Step 2: Convert to fraction form
    144,256.38/199,070.13 = 80,594.65/x
  3. Step 3: Cross multiply
    144,256.38x = 199,070.13 × 80,594.65
  4. Step 4: Simplify right side
    144,256.38x = 16,043,987,452.80
  5. Step 5: Solve for x
    x = 16,043,987,452.80/144,256.38
  6. Step 6: Final answer
    x = 111,218.57

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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.