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Finding the Fourth Proportional to 205,071.27, 282,991.50 and 120,186.51

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Solution

The fourth proportional to 205,071.27, 282,991.50 and 120,186.51 is: 165,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,071.27 : 282,991.50 = 120,186.51 : x
  2. Step 2: Convert to fraction form
    205,071.27/282,991.50 = 120,186.51/x
  3. Step 3: Cross multiply
    205,071.27x = 282,991.50 × 120,186.51
  4. Step 4: Simplify right side
    205,071.27x = 34,011,760,744.67
  5. Step 5: Solve for x
    x = 34,011,760,744.67/205,071.27
  6. Step 6: Final answer
    x = 165,853.37

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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.