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Finding the Fourth Proportional to 309,915.20, 464,719.12 and 110,205.52

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Solution

The fourth proportional to 309,915.20, 464,719.12 and 110,205.52 is: 165,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,915.20 : 464,719.12 = 110,205.52 : x
  2. Step 2: Convert to fraction form
    309,915.20/464,719.12 = 110,205.52/x
  3. Step 3: Cross multiply
    309,915.20x = 464,719.12 × 110,205.52
  4. Step 4: Simplify right side
    309,915.20x = 51,214,612,273.54
  5. Step 5: Solve for x
    x = 51,214,612,273.54/309,915.20
  6. Step 6: Final answer
    x = 165,253.63

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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.