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Finding the Fourth Proportional to 258,199.12, 356,348.20 and 145,021.88

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Solution

The fourth proportional to 258,199.12, 356,348.20 and 145,021.88 is: 200,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,199.12 : 356,348.20 = 145,021.88 : x
  2. Step 2: Convert to fraction form
    258,199.12/356,348.20 = 145,021.88/x
  3. Step 3: Cross multiply
    258,199.12x = 356,348.20 × 145,021.88
  4. Step 4: Simplify right side
    258,199.12x = 51,678,285,898.62
  5. Step 5: Solve for x
    x = 51,678,285,898.62/258,199.12
  6. Step 6: Final answer
    x = 200,148.96

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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.