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Finding the Fourth Proportional to 234,915.94, 352,268.07 and 140,189.86

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Solution

The fourth proportional to 234,915.94, 352,268.07 and 140,189.86 is: 210,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,915.94 : 352,268.07 = 140,189.86 : x
  2. Step 2: Convert to fraction form
    234,915.94/352,268.07 = 140,189.86/x
  3. Step 3: Cross multiply
    234,915.94x = 352,268.07 × 140,189.86
  4. Step 4: Simplify right side
    234,915.94x = 49,384,411,415.77
  5. Step 5: Solve for x
    x = 49,384,411,415.77/234,915.94
  6. Step 6: Final answer
    x = 210,221.63

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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.