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Finding the Fourth Proportional to 230,596.40, 346,040.40 and 135,826.40

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Solution

The fourth proportional to 230,596.40, 346,040.40 and 135,826.40 is: 203,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,596.40 : 346,040.40 = 135,826.40 : x
  2. Step 2: Convert to fraction form
    230,596.40/346,040.40 = 135,826.40/x
  3. Step 3: Cross multiply
    230,596.40x = 346,040.40 × 135,826.40
  4. Step 4: Simplify right side
    230,596.40x = 47,001,421,786.56
  5. Step 5: Solve for x
    x = 47,001,421,786.56/230,596.40
  6. Step 6: Final answer
    x = 203,825.48

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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.