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Finding the Fourth Proportional to 224,241.77, 335,982.02 and 135,308.40

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Solution

The fourth proportional to 224,241.77, 335,982.02 and 135,308.40 is: 202,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,241.77 : 335,982.02 = 135,308.40 : x
  2. Step 2: Convert to fraction form
    224,241.77/335,982.02 = 135,308.40/x
  3. Step 3: Cross multiply
    224,241.77x = 335,982.02 × 135,308.40
  4. Step 4: Simplify right side
    224,241.77x = 45,461,188,878.43
  5. Step 5: Solve for x
    x = 45,461,188,878.43/224,241.77
  6. Step 6: Final answer
    x = 202,732.92

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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.