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Finding the Fourth Proportional to 187,045.75, 258,123.14 and 102,163.02

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Solution

The fourth proportional to 187,045.75, 258,123.14 and 102,163.02 is: 140,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,045.75 : 258,123.14 = 102,163.02 : x
  2. Step 2: Convert to fraction form
    187,045.75/258,123.14 = 102,163.02/x
  3. Step 3: Cross multiply
    187,045.75x = 258,123.14 × 102,163.02
  4. Step 4: Simplify right side
    187,045.75x = 26,370,639,514.28
  5. Step 5: Solve for x
    x = 26,370,639,514.28/187,045.75
  6. Step 6: Final answer
    x = 140,984.97

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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.