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Finding the Fourth Proportional to 164,521.92, 246,764.16 and 46,202.88

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Solution

The fourth proportional to 164,521.92, 246,764.16 and 46,202.88 is: 69,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,521.92 : 246,764.16 = 46,202.88 : x
  2. Step 2: Convert to fraction form
    164,521.92/246,764.16 = 46,202.88/x
  3. Step 3: Cross multiply
    164,521.92x = 246,764.16 × 46,202.88
  4. Step 4: Simplify right side
    164,521.92x = 11,401,214,872.78
  5. Step 5: Solve for x
    x = 11,401,214,872.78/164,521.92
  6. Step 6: Final answer
    x = 69,299.06

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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.