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Finding the Fourth Proportional to 187,673.28, 258,979.56 and 102,774

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Solution

The fourth proportional to 187,673.28, 258,979.56 and 102,774 is: 141,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,673.28 : 258,979.56 = 102,774 : x
  2. Step 2: Convert to fraction form
    187,673.28/258,979.56 = 102,774/x
  3. Step 3: Cross multiply
    187,673.28x = 258,979.56 × 102,774
  4. Step 4: Simplify right side
    187,673.28x = 26,616,365,299.44
  5. Step 5: Solve for x
    x = 26,616,365,299.44/187,673.28
  6. Step 6: Final answer
    x = 141,822.88

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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.