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Finding the Fourth Proportional to 187,462.20, 258,713.16 and 106,914.96

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Solution

The fourth proportional to 187,462.20, 258,713.16 and 106,914.96 is: 147,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,462.20 : 258,713.16 = 106,914.96 : x
  2. Step 2: Convert to fraction form
    187,462.20/258,713.16 = 106,914.96/x
  3. Step 3: Cross multiply
    187,462.20x = 258,713.16 × 106,914.96
  4. Step 4: Simplify right side
    187,462.20x = 27,660,307,152.87
  5. Step 5: Solve for x
    x = 27,660,307,152.87/187,462.20
  6. Step 6: Final answer
    x = 147,551.38

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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.