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Finding the Fourth Proportional to 187,527.52, 258,787.83 and 102,644.50

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Solution

The fourth proportional to 187,527.52, 258,787.83 and 102,644.50 is: 141,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,527.52 : 258,787.83 = 102,644.50 : x
  2. Step 2: Convert to fraction form
    187,527.52/258,787.83 = 102,644.50/x
  3. Step 3: Cross multiply
    187,527.52x = 258,787.83 × 102,644.50
  4. Step 4: Simplify right side
    187,527.52x = 26,563,147,416.44
  5. Step 5: Solve for x
    x = 26,563,147,416.44/187,527.52
  6. Step 6: Final answer
    x = 141,649.33

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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.