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Finding the Fourth Proportional to 146,513.80, 219,770.70 and 96,650.20

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Solution

The fourth proportional to 146,513.80, 219,770.70 and 96,650.20 is: 144,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,513.80 : 219,770.70 = 96,650.20 : x
  2. Step 2: Convert to fraction form
    146,513.80/219,770.70 = 96,650.20/x
  3. Step 3: Cross multiply
    146,513.80x = 219,770.70 × 96,650.20
  4. Step 4: Simplify right side
    146,513.80x = 21,240,882,109.14
  5. Step 5: Solve for x
    x = 21,240,882,109.14/146,513.80
  6. Step 6: Final answer
    x = 144,975.30

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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.