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Finding the Fourth Proportional to 187,394.50, 258,605.22 and 102,512.98

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Solution

The fourth proportional to 187,394.50, 258,605.22 and 102,512.98 is: 141,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,394.50 : 258,605.22 = 102,512.98 : x
  2. Step 2: Convert to fraction form
    187,394.50/258,605.22 = 102,512.98/x
  3. Step 3: Cross multiply
    187,394.50x = 258,605.22 × 102,512.98
  4. Step 4: Simplify right side
    187,394.50x = 26,510,391,745.76
  5. Step 5: Solve for x
    x = 26,510,391,745.76/187,394.50
  6. Step 6: Final answer
    x = 141,468.36

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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.