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Finding the Fourth Proportional to 144,912.38, 199,941.23 and 83,643.57

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Solution

The fourth proportional to 144,912.38, 199,941.23 and 83,643.57 is: 115,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,912.38 : 199,941.23 = 83,643.57 : x
  2. Step 2: Convert to fraction form
    144,912.38/199,941.23 = 83,643.57/x
  3. Step 3: Cross multiply
    144,912.38x = 199,941.23 × 83,643.57
  4. Step 4: Simplify right side
    144,912.38x = 16,723,798,476.50
  5. Step 5: Solve for x
    x = 16,723,798,476.50/144,912.38
  6. Step 6: Final answer
    x = 115,406.28

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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.