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Finding the Fourth Proportional to 274,871.16, 411,917.94 and 116,940.60

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Solution

The fourth proportional to 274,871.16, 411,917.94 and 116,940.60 is: 175,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,871.16 : 411,917.94 = 116,940.60 : x
  2. Step 2: Convert to fraction form
    274,871.16/411,917.94 = 116,940.60/x
  3. Step 3: Cross multiply
    274,871.16x = 411,917.94 × 116,940.60
  4. Step 4: Simplify right side
    274,871.16x = 48,169,931,054.36
  5. Step 5: Solve for x
    x = 48,169,931,054.36/274,871.16
  6. Step 6: Final answer
    x = 175,245.49

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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.