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Finding the Fourth Proportional to 275,085.09, 412,491.51 and 97,565.49

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Solution

The fourth proportional to 275,085.09, 412,491.51 and 97,565.49 is: 146,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,085.09 : 412,491.51 = 97,565.49 : x
  2. Step 2: Convert to fraction form
    275,085.09/412,491.51 = 97,565.49/x
  3. Step 3: Cross multiply
    275,085.09x = 412,491.51 × 97,565.49
  4. Step 4: Simplify right side
    275,085.09x = 40,244,936,293.99
  5. Step 5: Solve for x
    x = 40,244,936,293.99/275,085.09
  6. Step 6: Final answer
    x = 146,299.96

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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.