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Finding the Fourth Proportional to 253,882, 350,357.16 and 140,721.76

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Solution

The fourth proportional to 253,882, 350,357.16 and 140,721.76 is: 194,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,882 : 350,357.16 = 140,721.76 : x
  2. Step 2: Convert to fraction form
    253,882/350,357.16 = 140,721.76/x
  3. Step 3: Cross multiply
    253,882x = 350,357.16 × 140,721.76
  4. Step 4: Simplify right side
    253,882x = 49,302,876,183.80
  5. Step 5: Solve for x
    x = 49,302,876,183.80/253,882
  6. Step 6: Final answer
    x = 194,196.03

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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.