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Finding the Fourth Proportional to 274,112.50, 411,229.23 and 116,475.70

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Solution

The fourth proportional to 274,112.50, 411,229.23 and 116,475.70 is: 174,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,112.50 : 411,229.23 = 116,475.70 : x
  2. Step 2: Convert to fraction form
    274,112.50/411,229.23 = 116,475.70/x
  3. Step 3: Cross multiply
    274,112.50x = 411,229.23 × 116,475.70
  4. Step 4: Simplify right side
    274,112.50x = 47,898,212,424.71
  5. Step 5: Solve for x
    x = 47,898,212,424.71/274,112.50
  6. Step 6: Final answer
    x = 174,739.25

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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.