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Finding the Fourth Proportional to 175,576.80, 263,365.20 and 140,584.80

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Solution

The fourth proportional to 175,576.80, 263,365.20 and 140,584.80 is: 210,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,576.80 : 263,365.20 = 140,584.80 : x
  2. Step 2: Convert to fraction form
    175,576.80/263,365.20 = 140,584.80/x
  3. Step 3: Cross multiply
    175,576.80x = 263,365.20 × 140,584.80
  4. Step 4: Simplify right side
    175,576.80x = 37,025,143,968.96
  5. Step 5: Solve for x
    x = 37,025,143,968.96/175,576.80
  6. Step 6: Final answer
    x = 210,877.20

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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.