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Finding the Fourth Proportional to 231,201.20, 346,801.80 and 178,713.20

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Solution

The fourth proportional to 231,201.20, 346,801.80 and 178,713.20 is: 268,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,201.20 : 346,801.80 = 178,713.20 : x
  2. Step 2: Convert to fraction form
    231,201.20/346,801.80 = 178,713.20/x
  3. Step 3: Cross multiply
    231,201.20x = 346,801.80 × 178,713.20
  4. Step 4: Simplify right side
    231,201.20x = 61,978,059,443.76
  5. Step 5: Solve for x
    x = 61,978,059,443.76/231,201.20
  6. Step 6: Final answer
    x = 268,069.80

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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.