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Finding the Fourth Proportional to 274,165.31, 411,071.78 and 114,351.50

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Solution

The fourth proportional to 274,165.31, 411,071.78 and 114,351.50 is: 171,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,165.31 : 411,071.78 = 114,351.50 : x
  2. Step 2: Convert to fraction form
    274,165.31/411,071.78 = 114,351.50/x
  3. Step 3: Cross multiply
    274,165.31x = 411,071.78 × 114,351.50
  4. Step 4: Simplify right side
    274,165.31x = 47,006,672,023.55
  5. Step 5: Solve for x
    x = 47,006,672,023.55/274,165.31
  6. Step 6: Final answer
    x = 171,453.76

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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.