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Finding the Fourth Proportional to 251,695.92, 347,290.02 and 144,299.64

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Solution

The fourth proportional to 251,695.92, 347,290.02 and 144,299.64 is: 199,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,695.92 : 347,290.02 = 144,299.64 : x
  2. Step 2: Convert to fraction form
    251,695.92/347,290.02 = 144,299.64/x
  3. Step 3: Cross multiply
    251,695.92x = 347,290.02 × 144,299.64
  4. Step 4: Simplify right side
    251,695.92x = 50,113,824,861.59
  5. Step 5: Solve for x
    x = 50,113,824,861.59/251,695.92
  6. Step 6: Final answer
    x = 199,104.64

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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.