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Finding the Fourth Proportional to 144,841.96, 199,842.27 and 86,675.27

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Solution

The fourth proportional to 144,841.96, 199,842.27 and 86,675.27 is: 119,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,841.96 : 199,842.27 = 86,675.27 : x
  2. Step 2: Convert to fraction form
    144,841.96/199,842.27 = 86,675.27/x
  3. Step 3: Cross multiply
    144,841.96x = 199,842.27 × 86,675.27
  4. Step 4: Simplify right side
    144,841.96x = 17,321,382,709.66
  5. Step 5: Solve for x
    x = 17,321,382,709.66/144,841.96
  6. Step 6: Final answer
    x = 119,588.15

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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.