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Finding the Fourth Proportional to 230,906.80, 346,619.40 and 178,548.40

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Solution

The fourth proportional to 230,906.80, 346,619.40 and 178,548.40 is: 268,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,906.80 : 346,619.40 = 178,548.40 : x
  2. Step 2: Convert to fraction form
    230,906.80/346,619.40 = 178,548.40/x
  3. Step 3: Cross multiply
    230,906.80x = 346,619.40 × 178,548.40
  4. Step 4: Simplify right side
    230,906.80x = 61,888,339,278.96
  5. Step 5: Solve for x
    x = 61,888,339,278.96/230,906.80
  6. Step 6: Final answer
    x = 268,023.03

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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.