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Finding the Fourth Proportional to 187,305.11, 258,506.39 and 105,650.12

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Solution

The fourth proportional to 187,305.11, 258,506.39 and 105,650.12 is: 145,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,305.11 : 258,506.39 = 105,650.12 : x
  2. Step 2: Convert to fraction form
    187,305.11/258,506.39 = 105,650.12/x
  3. Step 3: Cross multiply
    187,305.11x = 258,506.39 × 105,650.12
  4. Step 4: Simplify right side
    187,305.11x = 27,311,231,440.38
  5. Step 5: Solve for x
    x = 27,311,231,440.38/187,305.11
  6. Step 6: Final answer
    x = 145,811.46

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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.