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Finding the Fourth Proportional to 274,167.31, 411,074.77 and 114,353.50

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Solution

The fourth proportional to 274,167.31, 411,074.77 and 114,353.50 is: 171,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,167.31 : 411,074.77 = 114,353.50 : x
  2. Step 2: Convert to fraction form
    274,167.31/411,074.77 = 114,353.50/x
  3. Step 3: Cross multiply
    274,167.31x = 411,074.77 × 114,353.50
  4. Step 4: Simplify right side
    274,167.31x = 47,007,838,711.20
  5. Step 5: Solve for x
    x = 47,007,838,711.20/274,167.31
  6. Step 6: Final answer
    x = 171,456.76

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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.