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Finding the Fourth Proportional to 144,808.92, 199,834.38 and 81,147.96

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Solution

The fourth proportional to 144,808.92, 199,834.38 and 81,147.96 is: 111,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,808.92 : 199,834.38 = 81,147.96 : x
  2. Step 2: Convert to fraction form
    144,808.92/199,834.38 = 81,147.96/x
  3. Step 3: Cross multiply
    144,808.92x = 199,834.38 × 81,147.96
  4. Step 4: Simplify right side
    144,808.92x = 16,216,152,274.86
  5. Step 5: Solve for x
    x = 16,216,152,274.86/144,808.92
  6. Step 6: Final answer
    x = 111,983.10

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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.