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Finding the Fourth Proportional to 274,012.86, 411,252.57 and 107,917.50

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Solution

The fourth proportional to 274,012.86, 411,252.57 and 107,917.50 is: 161,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,012.86 : 411,252.57 = 107,917.50 : x
  2. Step 2: Convert to fraction form
    274,012.86/411,252.57 = 107,917.50/x
  3. Step 3: Cross multiply
    274,012.86x = 411,252.57 × 107,917.50
  4. Step 4: Simplify right side
    274,012.86x = 44,381,349,222.98
  5. Step 5: Solve for x
    x = 44,381,349,222.98/274,012.86
  6. Step 6: Final answer
    x = 161,968.13

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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.