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Finding the Fourth Proportional to 201,014.38, 277,380.21 and 116,129.62

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Solution

The fourth proportional to 201,014.38, 277,380.21 and 116,129.62 is: 160,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,014.38 : 277,380.21 = 116,129.62 : x
  2. Step 2: Convert to fraction form
    201,014.38/277,380.21 = 116,129.62/x
  3. Step 3: Cross multiply
    201,014.38x = 277,380.21 × 116,129.62
  4. Step 4: Simplify right side
    201,014.38x = 32,212,058,382.82
  5. Step 5: Solve for x
    x = 32,212,058,382.82/201,014.38
  6. Step 6: Final answer
    x = 160,247.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.