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Finding the Fourth Proportional to 146,133.20, 219,221.70 and 61,893.20

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Solution

The fourth proportional to 146,133.20, 219,221.70 and 61,893.20 is: 92,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,133.20 : 219,221.70 = 61,893.20 : x
  2. Step 2: Convert to fraction form
    146,133.20/219,221.70 = 61,893.20/x
  3. Step 3: Cross multiply
    146,133.20x = 219,221.70 × 61,893.20
  4. Step 4: Simplify right side
    146,133.20x = 13,568,332,522.44
  5. Step 5: Solve for x
    x = 13,568,332,522.44/146,133.20
  6. Step 6: Final answer
    x = 92,849.08

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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.