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Finding the Fourth Proportional to 152,213.20, 228,757.20 and 132,967.60

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Solution

The fourth proportional to 152,213.20, 228,757.20 and 132,967.60 is: 199,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,213.20 : 228,757.20 = 132,967.60 : x
  2. Step 2: Convert to fraction form
    152,213.20/228,757.20 = 132,967.60/x
  3. Step 3: Cross multiply
    152,213.20x = 228,757.20 × 132,967.60
  4. Step 4: Simplify right side
    152,213.20x = 30,417,295,866.72
  5. Step 5: Solve for x
    x = 30,417,295,866.72/152,213.20
  6. Step 6: Final answer
    x = 199,833.50

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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.