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Finding the Fourth Proportional to 231,892.40, 347,838.60 and 142,857.20

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Solution

The fourth proportional to 231,892.40, 347,838.60 and 142,857.20 is: 214,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,892.40 : 347,838.60 = 142,857.20 : x
  2. Step 2: Convert to fraction form
    231,892.40/347,838.60 = 142,857.20/x
  3. Step 3: Cross multiply
    231,892.40x = 347,838.60 × 142,857.20
  4. Step 4: Simplify right side
    231,892.40x = 49,691,248,447.92
  5. Step 5: Solve for x
    x = 49,691,248,447.92/231,892.40
  6. Step 6: Final answer
    x = 214,285.80

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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.