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Finding the Fourth Proportional to 150,435.50, 207,695.37 and 96,813.70

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Solution

The fourth proportional to 150,435.50, 207,695.37 and 96,813.70 is: 133,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,435.50 : 207,695.37 = 96,813.70 : x
  2. Step 2: Convert to fraction form
    150,435.50/207,695.37 = 96,813.70/x
  3. Step 3: Cross multiply
    150,435.50x = 207,695.37 × 96,813.70
  4. Step 4: Simplify right side
    150,435.50x = 20,107,757,086.38
  5. Step 5: Solve for x
    x = 20,107,757,086.38/150,435.50
  6. Step 6: Final answer
    x = 133,663.65

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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.