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Finding the Fourth Proportional to 313,194.34, 469,969.22 and 169,098.23

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Solution

The fourth proportional to 313,194.34, 469,969.22 and 169,098.23 is: 253,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,194.34 : 469,969.22 = 169,098.23 : x
  2. Step 2: Convert to fraction form
    313,194.34/469,969.22 = 169,098.23/x
  3. Step 3: Cross multiply
    313,194.34x = 469,969.22 × 169,098.23
  4. Step 4: Simplify right side
    313,194.34x = 79,470,960,061.14
  5. Step 5: Solve for x
    x = 79,470,960,061.14/313,194.34
  6. Step 6: Final answer
    x = 253,743.29

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Why These Related Problems?

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