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Finding the Fourth Proportional to 144,198.01, 198,992.12 and 83,804.01

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Solution

The fourth proportional to 144,198.01, 198,992.12 and 83,804.01 is: 115,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,198.01 : 198,992.12 = 83,804.01 : x
  2. Step 2: Convert to fraction form
    144,198.01/198,992.12 = 83,804.01/x
  3. Step 3: Cross multiply
    144,198.01x = 198,992.12 × 83,804.01
  4. Step 4: Simplify right side
    144,198.01x = 16,676,337,614.40
  5. Step 5: Solve for x
    x = 16,676,337,614.40/144,198.01
  6. Step 6: Final answer
    x = 115,648.87

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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.