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Finding the Fourth Proportional to 144,892.26, 199,950.66 and 81,229.86

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Solution

The fourth proportional to 144,892.26, 199,950.66 and 81,229.86 is: 112,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,892.26 : 199,950.66 = 81,229.86 : x
  2. Step 2: Convert to fraction form
    144,892.26/199,950.66 = 81,229.86/x
  3. Step 3: Cross multiply
    144,892.26x = 199,950.66 × 81,229.86
  4. Step 4: Simplify right side
    144,892.26x = 16,241,964,118.71
  5. Step 5: Solve for x
    x = 16,241,964,118.71/144,892.26
  6. Step 6: Final answer
    x = 112,096.84

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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.