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Finding the Fourth Proportional to 335,108.76, 462,376.68 and 199,187.88

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Solution

The fourth proportional to 335,108.76, 462,376.68 and 199,187.88 is: 274,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,108.76 : 462,376.68 = 199,187.88 : x
  2. Step 2: Convert to fraction form
    335,108.76/462,376.68 = 199,187.88/x
  3. Step 3: Cross multiply
    335,108.76x = 462,376.68 × 199,187.88
  4. Step 4: Simplify right side
    335,108.76x = 92,099,830,650.64
  5. Step 5: Solve for x
    x = 92,099,830,650.64/335,108.76
  6. Step 6: Final answer
    x = 274,835.64

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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.