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Finding the Fourth Proportional to 275,339.92, 412,765.20 and 97,823.52

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Solution

The fourth proportional to 275,339.92, 412,765.20 and 97,823.52 is: 146,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,339.92 : 412,765.20 = 97,823.52 : x
  2. Step 2: Convert to fraction form
    275,339.92/412,765.20 = 97,823.52/x
  3. Step 3: Cross multiply
    275,339.92x = 412,765.20 × 97,823.52
  4. Step 4: Simplify right side
    275,339.92x = 40,378,144,797.50
  5. Step 5: Solve for x
    x = 40,378,144,797.50/275,339.92
  6. Step 6: Final answer
    x = 146,648.35

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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.