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Finding the Fourth Proportional to 224,576.30, 309,914.57 and 122,603.03

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Solution

The fourth proportional to 224,576.30, 309,914.57 and 122,603.03 is: 169,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,576.30 : 309,914.57 = 122,603.03 : x
  2. Step 2: Convert to fraction form
    224,576.30/309,914.57 = 122,603.03/x
  3. Step 3: Cross multiply
    224,576.30x = 309,914.57 × 122,603.03
  4. Step 4: Simplify right side
    224,576.30x = 37,996,463,773.57
  5. Step 5: Solve for x
    x = 37,996,463,773.57/224,576.30
  6. Step 6: Final answer
    x = 169,191.78

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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.