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Finding the Fourth Proportional to 274,832.10, 411,920.10 and 141,643.80

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Solution

The fourth proportional to 274,832.10, 411,920.10 and 141,643.80 is: 212,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,832.10 : 411,920.10 = 141,643.80 : x
  2. Step 2: Convert to fraction form
    274,832.10/411,920.10 = 141,643.80/x
  3. Step 3: Cross multiply
    274,832.10x = 411,920.10 × 141,643.80
  4. Step 4: Simplify right side
    274,832.10x = 58,345,928,260.38
  5. Step 5: Solve for x
    x = 58,345,928,260.38/274,832.10
  6. Step 6: Final answer
    x = 212,296.63

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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.