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Finding the Fourth Proportional to 173,872.24, 260,830.20 and 49,213.20

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Solution

The fourth proportional to 173,872.24, 260,830.20 and 49,213.20 is: 73,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,872.24 : 260,830.20 = 49,213.20 : x
  2. Step 2: Convert to fraction form
    173,872.24/260,830.20 = 49,213.20/x
  3. Step 3: Cross multiply
    173,872.24x = 260,830.20 × 49,213.20
  4. Step 4: Simplify right side
    173,872.24x = 12,836,288,798.64
  5. Step 5: Solve for x
    x = 12,836,288,798.64/173,872.24
  6. Step 6: Final answer
    x = 73,825.98

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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.