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Finding the Fourth Proportional to 491,399.22, 737,102.93 and 136,440.92

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Solution

The fourth proportional to 491,399.22, 737,102.93 and 136,440.92 is: 204,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,399.22 : 737,102.93 = 136,440.92 : x
  2. Step 2: Convert to fraction form
    491,399.22/737,102.93 = 136,440.92/x
  3. Step 3: Cross multiply
    491,399.22x = 737,102.93 × 136,440.92
  4. Step 4: Simplify right side
    491,399.22x = 100,570,997,536.18
  5. Step 5: Solve for x
    x = 100,570,997,536.18/491,399.22
  6. Step 6: Final answer
    x = 204,662.51

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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.