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Finding the Fourth Proportional to 275,329.92, 412,750.20 and 97,813.52

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Solution

The fourth proportional to 275,329.92, 412,750.20 and 97,813.52 is: 146,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,329.92 : 412,750.20 = 97,813.52 : x
  2. Step 2: Convert to fraction form
    275,329.92/412,750.20 = 97,813.52/x
  3. Step 3: Cross multiply
    275,329.92x = 412,750.20 × 97,813.52
  4. Step 4: Simplify right side
    275,329.92x = 40,372,549,942.70
  5. Step 5: Solve for x
    x = 40,372,549,942.70/275,329.92
  6. Step 6: Final answer
    x = 146,633.36

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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.