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Finding the Fourth Proportional to 187,494.34, 258,735.81 and 106,947.94

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Solution

The fourth proportional to 187,494.34, 258,735.81 and 106,947.94 is: 147,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,494.34 : 258,735.81 = 106,947.94 : x
  2. Step 2: Convert to fraction form
    187,494.34/258,735.81 = 106,947.94/x
  3. Step 3: Cross multiply
    187,494.34x = 258,735.81 × 106,947.94
  4. Step 4: Simplify right side
    187,494.34x = 27,671,261,806.10
  5. Step 5: Solve for x
    x = 27,671,261,806.10/187,494.34
  6. Step 6: Final answer
    x = 147,584.52

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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.