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Finding the Fourth Proportional to 208,758.26, 313,505.67 and 155,464.71

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Solution

The fourth proportional to 208,758.26, 313,505.67 and 155,464.71 is: 233,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,758.26 : 313,505.67 = 155,464.71 : x
  2. Step 2: Convert to fraction form
    208,758.26/313,505.67 = 155,464.71/x
  3. Step 3: Cross multiply
    208,758.26x = 313,505.67 × 155,464.71
  4. Step 4: Simplify right side
    208,758.26x = 48,739,068,069.91
  5. Step 5: Solve for x
    x = 48,739,068,069.91/208,758.26
  6. Step 6: Final answer
    x = 233,471.33

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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.