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Finding the Fourth Proportional to 187,676.54, 258,993.70 and 102,795.02

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Solution

The fourth proportional to 187,676.54, 258,993.70 and 102,795.02 is: 141,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,676.54 : 258,993.70 = 102,795.02 : x
  2. Step 2: Convert to fraction form
    187,676.54/258,993.70 = 102,795.02/x
  3. Step 3: Cross multiply
    187,676.54x = 258,993.70 × 102,795.02
  4. Step 4: Simplify right side
    187,676.54x = 26,623,262,571.37
  5. Step 5: Solve for x
    x = 26,623,262,571.37/187,676.54
  6. Step 6: Final answer
    x = 141,857.17

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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.