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Finding the Fourth Proportional to 146,149.80, 219,224.70 and 47,653.80

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Solution

The fourth proportional to 146,149.80, 219,224.70 and 47,653.80 is: 71,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,149.80 : 219,224.70 = 47,653.80 : x
  2. Step 2: Convert to fraction form
    146,149.80/219,224.70 = 47,653.80/x
  3. Step 3: Cross multiply
    146,149.80x = 219,224.70 × 47,653.80
  4. Step 4: Simplify right side
    146,149.80x = 10,446,890,008.86
  5. Step 5: Solve for x
    x = 10,446,890,008.86/146,149.80
  6. Step 6: Final answer
    x = 71,480.70

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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.