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Finding the Fourth Proportional to 187,291.38, 258,478.99 and 106,744.86

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Solution

The fourth proportional to 187,291.38, 258,478.99 and 106,744.86 is: 147,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,291.38 : 258,478.99 = 106,744.86 : x
  2. Step 2: Convert to fraction form
    187,291.38/258,478.99 = 106,744.86/x
  3. Step 3: Cross multiply
    187,291.38x = 258,478.99 × 106,744.86
  4. Step 4: Simplify right side
    187,291.38x = 27,591,303,600.49
  5. Step 5: Solve for x
    x = 27,591,303,600.49/187,291.38
  6. Step 6: Final answer
    x = 147,317.53

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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.