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Finding the Fourth Proportional to 208,767.71, 288,099.38 and 113,274.38

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Solution

The fourth proportional to 208,767.71, 288,099.38 and 113,274.38 is: 156,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,767.71 : 288,099.38 = 113,274.38 : x
  2. Step 2: Convert to fraction form
    208,767.71/288,099.38 = 113,274.38/x
  3. Step 3: Cross multiply
    208,767.71x = 288,099.38 × 113,274.38
  4. Step 4: Simplify right side
    208,767.71x = 32,634,279,651.32
  5. Step 5: Solve for x
    x = 32,634,279,651.32/208,767.71
  6. Step 6: Final answer
    x = 156,318.61

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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.