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Finding the Fourth Proportional to 154,693.20, 231,694.20 and 127,045.20

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Solution

The fourth proportional to 154,693.20, 231,694.20 and 127,045.20 is: 190,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,693.20 : 231,694.20 = 127,045.20 : x
  2. Step 2: Convert to fraction form
    154,693.20/231,694.20 = 127,045.20/x
  3. Step 3: Cross multiply
    154,693.20x = 231,694.20 × 127,045.20
  4. Step 4: Simplify right side
    154,693.20x = 29,435,635,977.84
  5. Step 5: Solve for x
    x = 29,435,635,977.84/154,693.20
  6. Step 6: Final answer
    x = 190,283.97

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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.