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Finding the Fourth Proportional to 144,797.66, 199,828.77 and 81,155.90

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Solution

The fourth proportional to 144,797.66, 199,828.77 and 81,155.90 is: 111,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,797.66 : 199,828.77 = 81,155.90 : x
  2. Step 2: Convert to fraction form
    144,797.66/199,828.77 = 81,155.90/x
  3. Step 3: Cross multiply
    144,797.66x = 199,828.77 × 81,155.90
  4. Step 4: Simplify right side
    144,797.66x = 16,217,283,675.24
  5. Step 5: Solve for x
    x = 16,217,283,675.24/144,797.66
  6. Step 6: Final answer
    x = 111,999.63

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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.