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Finding the Fourth Proportional to 230,412.55, 345,774.48 and 80,654.08

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Solution

The fourth proportional to 230,412.55, 345,774.48 and 80,654.08 is: 121,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,412.55 : 345,774.48 = 80,654.08 : x
  2. Step 2: Convert to fraction form
    230,412.55/345,774.48 = 80,654.08/x
  3. Step 3: Cross multiply
    230,412.55x = 345,774.48 × 80,654.08
  4. Step 4: Simplify right side
    230,412.55x = 27,888,122,571.88
  5. Step 5: Solve for x
    x = 27,888,122,571.88/230,412.55
  6. Step 6: Final answer
    x = 121,035.61

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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.