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Finding the Fourth Proportional to 230,842.56, 346,419.36 and 90,584.64

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Solution

The fourth proportional to 230,842.56, 346,419.36 and 90,584.64 is: 135,937.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,842.56 : 346,419.36 = 90,584.64 : x
  2. Step 2: Convert to fraction form
    230,842.56/346,419.36 = 90,584.64/x
  3. Step 3: Cross multiply
    230,842.56x = 346,419.36 × 90,584.64
  4. Step 4: Simplify right side
    230,842.56x = 31,380,273,014.63
  5. Step 5: Solve for x
    x = 31,380,273,014.63/230,842.56
  6. Step 6: Final answer
    x = 135,937.99

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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.