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Finding the Fourth Proportional to 273,541.20, 410,081.40 and 142,213.20

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Solution

The fourth proportional to 273,541.20, 410,081.40 and 142,213.20 is: 213,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,541.20 : 410,081.40 = 142,213.20 : x
  2. Step 2: Convert to fraction form
    273,541.20/410,081.40 = 142,213.20/x
  3. Step 3: Cross multiply
    273,541.20x = 410,081.40 × 142,213.20
  4. Step 4: Simplify right side
    273,541.20x = 58,318,988,154.48
  5. Step 5: Solve for x
    x = 58,318,988,154.48/273,541.20
  6. Step 6: Final answer
    x = 213,200.02

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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.