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Finding the Fourth Proportional to 244,180.20, 365,978.70 and 102,025.20

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Solution

The fourth proportional to 244,180.20, 365,978.70 and 102,025.20 is: 152,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,180.20 : 365,978.70 = 102,025.20 : x
  2. Step 2: Convert to fraction form
    244,180.20/365,978.70 = 102,025.20/x
  3. Step 3: Cross multiply
    244,180.20x = 365,978.70 × 102,025.20
  4. Step 4: Simplify right side
    244,180.20x = 37,339,050,063.24
  5. Step 5: Solve for x
    x = 37,339,050,063.24/244,180.20
  6. Step 6: Final answer
    x = 152,915.96

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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.