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Finding the Fourth Proportional to 187,194.69, 258,298.81 and 106,623.79

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Solution

The fourth proportional to 187,194.69, 258,298.81 and 106,623.79 is: 147,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,194.69 : 258,298.81 = 106,623.79 : x
  2. Step 2: Convert to fraction form
    187,194.69/258,298.81 = 106,623.79/x
  3. Step 3: Cross multiply
    187,194.69x = 258,298.81 × 106,623.79
  4. Step 4: Simplify right side
    187,194.69x = 27,540,797,162.38
  5. Step 5: Solve for x
    x = 27,540,797,162.38/187,194.69
  6. Step 6: Final answer
    x = 147,123.82

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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.