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Finding the Fourth Proportional to 229,027.30, 343,022.55 and 135,715.30

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Solution

The fourth proportional to 229,027.30, 343,022.55 and 135,715.30 is: 203,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,027.30 : 343,022.55 = 135,715.30 : x
  2. Step 2: Convert to fraction form
    229,027.30/343,022.55 = 135,715.30/x
  3. Step 3: Cross multiply
    229,027.30x = 343,022.55 × 135,715.30
  4. Step 4: Simplify right side
    229,027.30x = 46,553,408,280.02
  5. Step 5: Solve for x
    x = 46,553,408,280.02/229,027.30
  6. Step 6: Final answer
    x = 203,265.76

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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.