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Finding the Fourth Proportional to 235,470.14, 353,205.21 and 67,007.96

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Solution

The fourth proportional to 235,470.14, 353,205.21 and 67,007.96 is: 100,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,470.14 : 353,205.21 = 67,007.96 : x
  2. Step 2: Convert to fraction form
    235,470.14/353,205.21 = 67,007.96/x
  3. Step 3: Cross multiply
    235,470.14x = 353,205.21 × 67,007.96
  4. Step 4: Simplify right side
    235,470.14x = 23,667,558,817.45
  5. Step 5: Solve for x
    x = 23,667,558,817.45/235,470.14
  6. Step 6: Final answer
    x = 100,511.93

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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.