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Finding the Fourth Proportional to 187,882.42, 259,276.79 and 101,841.06

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Solution

The fourth proportional to 187,882.42, 259,276.79 and 101,841.06 is: 140,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,882.42 : 259,276.79 = 101,841.06 : x
  2. Step 2: Convert to fraction form
    187,882.42/259,276.79 = 101,841.06/x
  3. Step 3: Cross multiply
    187,882.42x = 259,276.79 × 101,841.06
  4. Step 4: Simplify right side
    187,882.42x = 26,405,021,321.41
  5. Step 5: Solve for x
    x = 26,405,021,321.41/187,882.42
  6. Step 6: Final answer
    x = 140,540.14

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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.