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Finding the Fourth Proportional to 208,406.44, 312,732.38 and 144,414.82

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Solution

The fourth proportional to 208,406.44, 312,732.38 and 144,414.82 is: 216,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,406.44 : 312,732.38 = 144,414.82 : x
  2. Step 2: Convert to fraction form
    208,406.44/312,732.38 = 144,414.82/x
  3. Step 3: Cross multiply
    208,406.44x = 312,732.38 × 144,414.82
  4. Step 4: Simplify right side
    208,406.44x = 45,163,190,365.87
  5. Step 5: Solve for x
    x = 45,163,190,365.87/208,406.44
  6. Step 6: Final answer
    x = 216,707.27

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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.