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Finding the Fourth Proportional to 224,243.52, 335,984.64 and 135,310.15

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Solution

The fourth proportional to 224,243.52, 335,984.64 and 135,310.15 is: 202,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,243.52 : 335,984.64 = 135,310.15 : x
  2. Step 2: Convert to fraction form
    224,243.52/335,984.64 = 135,310.15/x
  3. Step 3: Cross multiply
    224,243.52x = 335,984.64 × 135,310.15
  4. Step 4: Simplify right side
    224,243.52x = 45,462,132,036.10
  5. Step 5: Solve for x
    x = 45,462,132,036.10/224,243.52
  6. Step 6: Final answer
    x = 202,735.54

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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.