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Finding the Fourth Proportional to 313,105.08, 432,085.84 and 169,865.12

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Solution

The fourth proportional to 313,105.08, 432,085.84 and 169,865.12 is: 234,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,105.08 : 432,085.84 = 169,865.12 : x
  2. Step 2: Convert to fraction form
    313,105.08/432,085.84 = 169,865.12/x
  3. Step 3: Cross multiply
    313,105.08x = 432,085.84 × 169,865.12
  4. Step 4: Simplify right side
    313,105.08x = 73,396,314,672.94
  5. Step 5: Solve for x
    x = 73,396,314,672.94/313,105.08
  6. Step 6: Final answer
    x = 234,414.32

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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.