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Finding the Fourth Proportional to 192,085.53, 288,054.45 and 132,741.29

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Solution

The fourth proportional to 192,085.53, 288,054.45 and 132,741.29 is: 199,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,085.53 : 288,054.45 = 132,741.29 : x
  2. Step 2: Convert to fraction form
    192,085.53/288,054.45 = 132,741.29/x
  3. Step 3: Cross multiply
    192,085.53x = 288,054.45 × 132,741.29
  4. Step 4: Simplify right side
    192,085.53x = 38,236,717,842.97
  5. Step 5: Solve for x
    x = 38,236,717,842.97/192,085.53
  6. Step 6: Final answer
    x = 199,060.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.