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Finding the Fourth Proportional to 149,760.50, 206,501.01 and 122,451.38

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Solution

The fourth proportional to 149,760.50, 206,501.01 and 122,451.38 is: 168,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,760.50 : 206,501.01 = 122,451.38 : x
  2. Step 2: Convert to fraction form
    149,760.50/206,501.01 = 122,451.38/x
  3. Step 3: Cross multiply
    149,760.50x = 206,501.01 × 122,451.38
  4. Step 4: Simplify right side
    149,760.50x = 25,286,333,645.89
  5. Step 5: Solve for x
    x = 25,286,333,645.89/149,760.50
  6. Step 6: Final answer
    x = 168,845.15

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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.