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Finding the Fourth Proportional to 144,597.96, 199,543.23 and 80,935.74

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Solution

The fourth proportional to 144,597.96, 199,543.23 and 80,935.74 is: 111,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,597.96 : 199,543.23 = 80,935.74 : x
  2. Step 2: Convert to fraction form
    144,597.96/199,543.23 = 80,935.74/x
  3. Step 3: Cross multiply
    144,597.96x = 199,543.23 × 80,935.74
  4. Step 4: Simplify right side
    144,597.96x = 16,150,178,982.04
  5. Step 5: Solve for x
    x = 16,150,178,982.04/144,597.96
  6. Step 6: Final answer
    x = 111,690.23

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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.