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Finding the Fourth Proportional to 257,058.45, 354,654.81 and 149,605.70

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Solution

The fourth proportional to 257,058.45, 354,654.81 and 149,605.70 is: 206,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,058.45 : 354,654.81 = 149,605.70 : x
  2. Step 2: Convert to fraction form
    257,058.45/354,654.81 = 149,605.70/x
  3. Step 3: Cross multiply
    257,058.45x = 354,654.81 × 149,605.70
  4. Step 4: Simplify right side
    257,058.45x = 53,058,379,335.14
  5. Step 5: Solve for x
    x = 53,058,379,335.14/257,058.45
  6. Step 6: Final answer
    x = 206,405.89

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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.