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Finding the Fourth Proportional to 264,552.30, 396,703.26 and 102,522.24

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Solution

The fourth proportional to 264,552.30, 396,703.26 and 102,522.24 is: 153,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,552.30 : 396,703.26 = 102,522.24 : x
  2. Step 2: Convert to fraction form
    264,552.30/396,703.26 = 102,522.24/x
  3. Step 3: Cross multiply
    264,552.30x = 396,703.26 × 102,522.24
  4. Step 4: Simplify right side
    264,552.30x = 40,670,906,830.50
  5. Step 5: Solve for x
    x = 40,670,906,830.50/264,552.30
  6. Step 6: Final answer
    x = 153,734.84

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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.