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Finding the Fourth Proportional to 274,011.86, 411,251.07 and 107,916.50

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Solution

The fourth proportional to 274,011.86, 411,251.07 and 107,916.50 is: 161,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,011.86 : 411,251.07 = 107,916.50 : x
  2. Step 2: Convert to fraction form
    274,011.86/411,251.07 = 107,916.50/x
  3. Step 3: Cross multiply
    274,011.86x = 411,251.07 × 107,916.50
  4. Step 4: Simplify right side
    274,011.86x = 44,380,776,095.66
  5. Step 5: Solve for x
    x = 44,380,776,095.66/274,011.86
  6. Step 6: Final answer
    x = 161,966.62

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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.