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Finding the Fourth Proportional to 187,696.29, 259,020.99 and 102,814.77

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Solution

The fourth proportional to 187,696.29, 259,020.99 and 102,814.77 is: 141,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,696.29 : 259,020.99 = 102,814.77 : x
  2. Step 2: Convert to fraction form
    187,696.29/259,020.99 = 102,814.77/x
  3. Step 3: Cross multiply
    187,696.29x = 259,020.99 × 102,814.77
  4. Step 4: Simplify right side
    187,696.29x = 26,631,183,512.02
  5. Step 5: Solve for x
    x = 26,631,183,512.02/187,696.29
  6. Step 6: Final answer
    x = 141,884.44

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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.