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Finding the Fourth Proportional to 187,140.46, 258,253.56 and 106,568

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Solution

The fourth proportional to 187,140.46, 258,253.56 and 106,568 is: 147,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,140.46 : 258,253.56 = 106,568 : x
  2. Step 2: Convert to fraction form
    187,140.46/258,253.56 = 106,568/x
  3. Step 3: Cross multiply
    187,140.46x = 258,253.56 × 106,568
  4. Step 4: Simplify right side
    187,140.46x = 27,521,565,382.08
  5. Step 5: Solve for x
    x = 27,521,565,382.08/187,140.46
  6. Step 6: Final answer
    x = 147,063.68

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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.