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Finding the Fourth Proportional to 273,542.70, 410,083.65 and 142,214.70

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Solution

The fourth proportional to 273,542.70, 410,083.65 and 142,214.70 is: 213,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,542.70 : 410,083.65 = 142,214.70 : x
  2. Step 2: Convert to fraction form
    273,542.70/410,083.65 = 142,214.70/x
  3. Step 3: Cross multiply
    273,542.70x = 410,083.65 × 142,214.70
  4. Step 4: Simplify right side
    273,542.70x = 58,319,923,259.66
  5. Step 5: Solve for x
    x = 58,319,923,259.66/273,542.70
  6. Step 6: Final answer
    x = 213,202.27

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1.5x scale

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.