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Finding the Fourth Proportional to 187,198.52, 258,335.88 and 102,317

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Solution

The fourth proportional to 187,198.52, 258,335.88 and 102,317 is: 141,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,198.52 : 258,335.88 = 102,317 : x
  2. Step 2: Convert to fraction form
    187,198.52/258,335.88 = 102,317/x
  3. Step 3: Cross multiply
    187,198.52x = 258,335.88 × 102,317
  4. Step 4: Simplify right side
    187,198.52x = 26,432,152,233.96
  5. Step 5: Solve for x
    x = 26,432,152,233.96/187,198.52
  6. Step 6: Final answer
    x = 141,198.51

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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.