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Finding the Fourth Proportional to 150,202.92, 207,261.70 and 119,653.82

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Solution

The fourth proportional to 150,202.92, 207,261.70 and 119,653.82 is: 165,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,202.92 : 207,261.70 = 119,653.82 : x
  2. Step 2: Convert to fraction form
    150,202.92/207,261.70 = 119,653.82/x
  3. Step 3: Cross multiply
    150,202.92x = 207,261.70 × 119,653.82
  4. Step 4: Simplify right side
    150,202.92x = 24,799,654,144.69
  5. Step 5: Solve for x
    x = 24,799,654,144.69/150,202.92
  6. Step 6: Final answer
    x = 165,107.67

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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.