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Finding the Fourth Proportional to 144,922.38, 199,990.34 and 81,259.98

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Solution

The fourth proportional to 144,922.38, 199,990.34 and 81,259.98 is: 112,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,922.38 : 199,990.34 = 81,259.98 : x
  2. Step 2: Convert to fraction form
    144,922.38/199,990.34 = 81,259.98/x
  3. Step 3: Cross multiply
    144,922.38x = 199,990.34 × 81,259.98
  4. Step 4: Simplify right side
    144,922.38x = 16,251,211,028.59
  5. Step 5: Solve for x
    x = 16,251,211,028.59/144,922.38
  6. Step 6: Final answer
    x = 112,137.35

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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.