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Finding the Fourth Proportional to 144,815.31, 199,868.31 and 84,421.31

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Solution

The fourth proportional to 144,815.31, 199,868.31 and 84,421.31 is: 116,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,815.31 : 199,868.31 = 84,421.31 : x
  2. Step 2: Convert to fraction form
    144,815.31/199,868.31 = 84,421.31/x
  3. Step 3: Cross multiply
    144,815.31x = 199,868.31 × 84,421.31
  4. Step 4: Simplify right side
    144,815.31x = 16,873,143,558.34
  5. Step 5: Solve for x
    x = 16,873,143,558.34/144,815.31
  6. Step 6: Final answer
    x = 116,514.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.