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Finding the Fourth Proportional to 230,313.12, 345,469.68 and 131,748

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Solution

The fourth proportional to 230,313.12, 345,469.68 and 131,748 is: 197,622

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,313.12 : 345,469.68 = 131,748 : x
  2. Step 2: Convert to fraction form
    230,313.12/345,469.68 = 131,748/x
  3. Step 3: Cross multiply
    230,313.12x = 345,469.68 × 131,748
  4. Step 4: Simplify right side
    230,313.12x = 45,514,939,400.64
  5. Step 5: Solve for x
    x = 45,514,939,400.64/230,313.12
  6. Step 6: Final answer
    x = 197,622

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.