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Finding the Fourth Proportional to 187,102.44, 258,201.62 and 106,530

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Solution

The fourth proportional to 187,102.44, 258,201.62 and 106,530 is: 147,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,102.44 : 258,201.62 = 106,530 : x
  2. Step 2: Convert to fraction form
    187,102.44/258,201.62 = 106,530/x
  3. Step 3: Cross multiply
    187,102.44x = 258,201.62 × 106,530
  4. Step 4: Simplify right side
    187,102.44x = 27,506,218,578.60
  5. Step 5: Solve for x
    x = 27,506,218,578.60/187,102.44
  6. Step 6: Final answer
    x = 147,011.54

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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.