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Finding the Fourth Proportional to 137,762.42, 206,571.84 and 49,003.04

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Solution

The fourth proportional to 137,762.42, 206,571.84 and 49,003.04 is: 73,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,762.42 : 206,571.84 = 49,003.04 : x
  2. Step 2: Convert to fraction form
    137,762.42/206,571.84 = 49,003.04/x
  3. Step 3: Cross multiply
    137,762.42x = 206,571.84 × 49,003.04
  4. Step 4: Simplify right side
    137,762.42x = 10,122,648,138.39
  5. Step 5: Solve for x
    x = 10,122,648,138.39/137,762.42
  6. Step 6: Final answer
    x = 73,479.02

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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.