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Finding the Fourth Proportional to 208,843.68, 288,199.98 and 118,198.02

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Solution

The fourth proportional to 208,843.68, 288,199.98 and 118,198.02 is: 163,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,843.68 : 288,199.98 = 118,198.02 : x
  2. Step 2: Convert to fraction form
    208,843.68/288,199.98 = 118,198.02/x
  3. Step 3: Cross multiply
    208,843.68x = 288,199.98 × 118,198.02
  4. Step 4: Simplify right side
    208,843.68x = 34,064,667,000.04
  5. Step 5: Solve for x
    x = 34,064,667,000.04/208,843.68
  6. Step 6: Final answer
    x = 163,110.83

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