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Finding the Fourth Proportional to 187,954.29, 259,388.73 and 103,071.38

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Solution

The fourth proportional to 187,954.29, 259,388.73 and 103,071.38 is: 142,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,954.29 : 259,388.73 = 103,071.38 : x
  2. Step 2: Convert to fraction form
    187,954.29/259,388.73 = 103,071.38/x
  3. Step 3: Cross multiply
    187,954.29x = 259,388.73 × 103,071.38
  4. Step 4: Simplify right side
    187,954.29x = 26,735,553,060.60
  5. Step 5: Solve for x
    x = 26,735,553,060.60/187,954.29
  6. Step 6: Final answer
    x = 142,244.97

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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.