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Finding the Fourth Proportional to 274,820.10, 411,902.10 and 141,631.80

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Solution

The fourth proportional to 274,820.10, 411,902.10 and 141,631.80 is: 212,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,820.10 : 411,902.10 = 141,631.80 : x
  2. Step 2: Convert to fraction form
    274,820.10/411,902.10 = 141,631.80/x
  3. Step 3: Cross multiply
    274,820.10x = 411,902.10 × 141,631.80
  4. Step 4: Simplify right side
    274,820.10x = 58,338,435,846.78
  5. Step 5: Solve for x
    x = 58,338,435,846.78/274,820.10
  6. Step 6: Final answer
    x = 212,278.64

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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.