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Finding the Fourth Proportional to 187,230.38, 258,378.84 and 102,347.44

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Solution

The fourth proportional to 187,230.38, 258,378.84 and 102,347.44 is: 141,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,230.38 : 258,378.84 = 102,347.44 : x
  2. Step 2: Convert to fraction form
    187,230.38/258,378.84 = 102,347.44/x
  3. Step 3: Cross multiply
    187,230.38x = 258,378.84 × 102,347.44
  4. Step 4: Simplify right side
    187,230.38x = 26,444,412,178.22
  5. Step 5: Solve for x
    x = 26,444,412,178.22/187,230.38
  6. Step 6: Final answer
    x = 141,239.97

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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.