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Finding the Fourth Proportional to 178,576.40, 268,015.80 and 73,470.80

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Solution

The fourth proportional to 178,576.40, 268,015.80 and 73,470.80 is: 110,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,576.40 : 268,015.80 = 73,470.80 : x
  2. Step 2: Convert to fraction form
    178,576.40/268,015.80 = 73,470.80/x
  3. Step 3: Cross multiply
    178,576.40x = 268,015.80 × 73,470.80
  4. Step 4: Simplify right side
    178,576.40x = 19,691,335,238.64
  5. Step 5: Solve for x
    x = 19,691,335,238.64/178,576.40
  6. Step 6: Final answer
    x = 110,268.41

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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.