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Finding the Fourth Proportional to 146,801.80, 219,911.10 and 80,122.60

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Solution

The fourth proportional to 146,801.80, 219,911.10 and 80,122.60 is: 120,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,801.80 : 219,911.10 = 80,122.60 : x
  2. Step 2: Convert to fraction form
    146,801.80/219,911.10 = 80,122.60/x
  3. Step 3: Cross multiply
    146,801.80x = 219,911.10 × 80,122.60
  4. Step 4: Simplify right side
    146,801.80x = 17,619,849,100.86
  5. Step 5: Solve for x
    x = 17,619,849,100.86/146,801.80
  6. Step 6: Final answer
    x = 120,024.75

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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.