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Finding the Fourth Proportional to 224,906.90, 310,371.26 and 122,933.03

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Solution

The fourth proportional to 224,906.90, 310,371.26 and 122,933.03 is: 169,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,906.90 : 310,371.26 = 122,933.03 : x
  2. Step 2: Convert to fraction form
    224,906.90/310,371.26 = 122,933.03/x
  3. Step 3: Cross multiply
    224,906.90x = 310,371.26 × 122,933.03
  4. Step 4: Simplify right side
    224,906.90x = 38,154,880,499.98
  5. Step 5: Solve for x
    x = 38,154,880,499.98/224,906.90
  6. Step 6: Final answer
    x = 169,647.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.