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Finding the Fourth Proportional to 144,761.44, 199,774.72 and 81,097.86

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Solution

The fourth proportional to 144,761.44, 199,774.72 and 81,097.86 is: 111,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,761.44 : 199,774.72 = 81,097.86 : x
  2. Step 2: Convert to fraction form
    144,761.44/199,774.72 = 81,097.86/x
  3. Step 3: Cross multiply
    144,761.44x = 199,774.72 × 81,097.86
  4. Step 4: Simplify right side
    144,761.44x = 16,201,302,274.10
  5. Step 5: Solve for x
    x = 16,201,302,274.10/144,761.44
  6. Step 6: Final answer
    x = 111,917.25

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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.