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Finding the Fourth Proportional to 187,229.14, 258,346.02 and 106,658.22

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Solution

The fourth proportional to 187,229.14, 258,346.02 and 106,658.22 is: 147,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,229.14 : 258,346.02 = 106,658.22 : x
  2. Step 2: Convert to fraction form
    187,229.14/258,346.02 = 106,658.22/x
  3. Step 3: Cross multiply
    187,229.14x = 258,346.02 × 106,658.22
  4. Step 4: Simplify right side
    187,229.14x = 27,554,726,637.28
  5. Step 5: Solve for x
    x = 27,554,726,637.28/187,229.14
  6. Step 6: Final answer
    x = 147,171.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.