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Finding the Fourth Proportional to 264,200.70, 395,847.45 and 123,671.10

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Solution

The fourth proportional to 264,200.70, 395,847.45 and 123,671.10 is: 185,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,200.70 : 395,847.45 = 123,671.10 : x
  2. Step 2: Convert to fraction form
    264,200.70/395,847.45 = 123,671.10/x
  3. Step 3: Cross multiply
    264,200.70x = 395,847.45 × 123,671.10
  4. Step 4: Simplify right side
    264,200.70x = 48,954,889,573.70
  5. Step 5: Solve for x
    x = 48,954,889,573.70/264,200.70
  6. Step 6: Final answer
    x = 185,294.32

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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.