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Finding the Fourth Proportional to 275,324.80, 412,468.80 and 141,750.40

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Solution

The fourth proportional to 275,324.80, 412,468.80 and 141,750.40 is: 212,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,324.80 : 412,468.80 = 141,750.40 : x
  2. Step 2: Convert to fraction form
    275,324.80/412,468.80 = 141,750.40/x
  3. Step 3: Cross multiply
    275,324.80x = 412,468.80 × 141,750.40
  4. Step 4: Simplify right side
    275,324.80x = 58,467,617,387.52
  5. Step 5: Solve for x
    x = 58,467,617,387.52/275,324.80
  6. Step 6: Final answer
    x = 212,358.70

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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.