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Finding the Fourth Proportional to 224,892.74, 337,066.28 and 165,174.64

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Solution

The fourth proportional to 224,892.74, 337,066.28 and 165,174.64 is: 247,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,892.74 : 337,066.28 = 165,174.64 : x
  2. Step 2: Convert to fraction form
    224,892.74/337,066.28 = 165,174.64/x
  3. Step 3: Cross multiply
    224,892.74x = 337,066.28 × 165,174.64
  4. Step 4: Simplify right side
    224,892.74x = 55,674,801,455.14
  5. Step 5: Solve for x
    x = 55,674,801,455.14/224,892.74
  6. Step 6: Final answer
    x = 247,561.58

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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.