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Finding the Fourth Proportional to 187,548.96, 258,823.68 and 102,666

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Solution

The fourth proportional to 187,548.96, 258,823.68 and 102,666 is: 141,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,548.96 : 258,823.68 = 102,666 : x
  2. Step 2: Convert to fraction form
    187,548.96/258,823.68 = 102,666/x
  3. Step 3: Cross multiply
    187,548.96x = 258,823.68 × 102,666
  4. Step 4: Simplify right side
    187,548.96x = 26,572,391,930.88
  5. Step 5: Solve for x
    x = 26,572,391,930.88/187,548.96
  6. Step 6: Final answer
    x = 141,682.43

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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.