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Finding the Fourth Proportional to 144,412.38, 199,298.28 and 80,750.16

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Solution

The fourth proportional to 144,412.38, 199,298.28 and 80,750.16 is: 111,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,412.38 : 199,298.28 = 80,750.16 : x
  2. Step 2: Convert to fraction form
    144,412.38/199,298.28 = 80,750.16/x
  3. Step 3: Cross multiply
    144,412.38x = 199,298.28 × 80,750.16
  4. Step 4: Simplify right side
    144,412.38x = 16,093,367,997.72
  5. Step 5: Solve for x
    x = 16,093,367,997.72/144,412.38
  6. Step 6: Final answer
    x = 111,440.36

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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.